Past Seminars

 Spring 2009 Organizers: Jared Weinstein and Rizwanur Khan., Talks will take place in MS 6221 from 4:00-4:50 unless indicated otherwise. Mar. 30 Masoud Kamgarpour, Univ. British Columbia Stacky Abelianization of Algebraic Groups Mar. 31 (special Tues. talk: MS 6627 at 4 pm) Par Kurlberg, KTH Sweden Number theory related to quantum chaos Apr. 6 Rizwan Khan, UCLA The second moment of Dirichlet twists of Hecke L-functions Apr. 13 Olivier Fouquet, Ecole Polytechnique / Osaka U. Dihedral Iwasawa theory of ordinary automorphic forms Apr. 20 Apr. 27 May 1 (special Friday talk: 4-5pm, Chair's conference room) Gordan Savin, Univ. of Utah Reducing minimal representation modulo l May 4 Ralph Greenberg, U. Washington Galois representations with open image May 5 (special Tuesday talk: MS 6627 at 4pm) Mahesh Kakde, Princeton Congruences in non-commutative Iwasawa theory May 7 (Colloquium: 4pm, MS 6627) Ralph Greenberg, U. Washington Projective modules and Iwasawa theory May 8 (special Friday talk: 3:30 pm, Chair's conference room) Ralph Greenberg, U. Washington Iwasawa theory for elliptic curves with supersingular reduction May 11 Cornelius Greither, Univ. der Bundeswehr Munchen Fitting ideals of Tate modules of Jacobians, and of class groups of curves over finite fields May 18 Florian Herzig, Northwestern Weight Cycling and Serre-type Conjectures June 1 Lin Chen, UCLA Galois deformation with triangular frame June 5 (Fri., in MS 6221, 1 pm) Solomon Friedberg, Boston College Metaplectic Eisenstein series, twisted Euler products, and crystal graphs

 Winter 2009 Organizers: Jared Weinstein and Rizwanur Khan., Talks will take place in MS 6221 from 4:00-4:50 unless indicated otherwise. Date Speaker & Title Jan. 26 Marc-Hubert Nicole, Jussieu Purity of level m stratifications Feb. 6 (Fri., in MS 6229.) K. Soundararajan, Stanford Recent progress on quantum unique ergodicity Feb. 9 Martin Weissman, UC Santa Cruz Backwards functoriality from classical groups to G_2 Feb. 13 (Fri., in Lakretz 120) Benedict Gross, Harvard On the restriction of irreducible representations of the group U_n(k) to the subgroup U_{n-1}(k) Feb. 23 Hisa-aki Kawamura, Hokkaido U. On p-adic congruences of the Duke-Imamoglu-Ikeda lifts Feb. 28 at 2 pm in MS 3915A Michael Speiss p-adic periods and p-adic L-functions of elliptic curves Mar. 2 René Schoof, Roma Buchman's algorithms and Arakelov class groups of number fields Mar. 6, 2 pm in MS 3915A Tomokazu Kashio, Kyoto U. Stark units, CM-periods and multiplegamma functions Mar. 9 V. Varadarajan, UCLA Airy Functions on Local Fields Mar. 16 Lin Weng, Kyushu U. Stability and Arithmetic

 Fall 2008 Organizers: Jared Weinstein and Rizwanur Khan., Talks will take place in MS 5148 from 4:00-4:50 unless indicated otherwise. Date Speaker & Title Sept. 29 No Seminar. Oct. 6 Haseo Ki, Yonsei University Siegel zeros and zeros of the derivative of the Riemann zeta function Oct. 13 Boris Bukh, UCLA Sums of Dilates Oct. 20 Jared Weinstein, UCLA The Jacquet-Langlands Correspondence via Fourier Analysis Oct. 27 TBA Nov. 3 Lenny Fukshansky, Claremont McKenna Siegel's lemma outside of a union of varieties Nov. 10 Chung Pang Mok, UC Berkeley Heegner points and p-adic L-functions for elliptic curves over totally real fields. Nov. 17 Matthias Flach, Caltech On the cyclotomic main conjecture for the prime 2 Nov. 19 Jack Buttcane, UCLA Sums of Powers of Primes (Wed. talk!) Nov. 24 Robert Guralnick, USC Rational Functions that are Bijective modulo infinitely many primes Dec. 1 Thomas Geisser, USC Duality via cycle complexes Dec. 8 Aftab Pande, Cornell Deformations of Galois representations and some distribution conjectures

 Spring 2008 Organizers: Iftikhar Burhanuddin, Paul Jenkins Talks will take place in MS 5128 from 4:30-5:30 unless indicated otherwise Date Speaker & Title March 31 Paul Jenkins, UCLA Integral traces of singular values of Maass forms Pictures Audio April 07 Leo Goldmakher, Michigan/Stanford Pretentious characters and the Polya-Vinogradov theorem Pictures Audio April 10 Eric Friedlander, USC Elementary Representation Theory (Algebra Colloquium) Pictures Audio April 14 April 16 2:00-2:50pm MS 6221 Kristin Lauter, Microsoft Research Class Invariants of Quartic CM Fields April 17 1:50-2:50pm MS 6943 Terence Tao, UCLA On the permanent of a random Bernoulli matrix (Combinatorics Seminar) Pictures Audio April 17 4:15-5:05pm MS 6227 Kristin Lauter, Microsoft Research Applications of Ramanujan graphs in Cryptography (Number Theory Colloquium) Audio April 21 April 22 2-3pm MS 6627 Ngo Bao Chau, IAS / Paris 9 (Orsay) Hitchin fibration and fundamental lemma April 28 May 05 MS 6221 2-3pm Jim Borger, ANU / Chicago Witt vectors, Lambda-rings, and absolute algebraic geometry May 05 Wayne Raskind, USC Totally degenerate reduction in the non-archimedean and archimedean cases May 12 Shamgar Gurevich, UC Berkeley Quadratic reciprocity and sign of Gauss sum via the finite Weil representation May 12-16 John Coates, Cambridge UCLA Math Distinguished Lecture Series Iwasawa Theory May 15 3:00-3:50pm MS 6627 Gopal Prasad, Michigan (Number Theory Colloquium) May 19 Craig Citro, UCLA L-invariants of p-adic L-functions May 26 Memorial Day, Holiday June 02 June 09

 Winter 2008 Organizers: Iftikhar Burhanuddin, Paul Jenkins Talks will take place in MS 5128 from 4:00-5:00 unless indicated otherwise Date Speaker & Title January 7 No Seminar --- AMS Joint Mathematics Meetings January 9 2-3pm MS 6627 January 10 2-3pm MS 6221 January 11 2-3pm MS 6627 Avi Wigderson, IAS --- UCLA Math Distinguished Lecture Series Some topics in computational complexity Abstract Lecture 1: The power and weakness of randomness in computation Pictures Audio Audio Q&A Tao's Notes Lecture 2: Expander Graphs -- Constructions and Applications Pictures Audio Audio Q&A Tao's Notes Lecture 3: Algebraic computation Pictures Audio Tao's Notes January 11 4-5pm MS 5138 Ravi Ramakrishna, Cornell Ranks for new parts of Hecke algebras Pictures Audio January 14 Gordan Savin, Utah Langlands lift from G_2 to PGSp(6) Pictures Audio January 21 No Seminar --- MLK Jr. Day January 28 Michelle Manes, USC Uniform Boundedness Conjectures and Theorems for Dynamical Systems Pictures Audio February 7Lakretz 1013-4pm Alex Ghitza, Colby College Computing Hecke eigensystems (mod p) Pictures Audio February 7 MS 6627 4:15-5:05pm Kiran Kedlaya, MIT Effective Bounds for Solutions of p-adic Differential Equations Pictures Audio February 11 Dimitar Jetchev, UCB Global Divisibility of Heegner Points and Tamagawa Numbers Pictures Audio February 18 No Seminar --- Presidents Day February 25 Jesse Elliott, CSU Channel Islands Rings of Integer-Valued Polynomials Slides Audio part 1 Audio part 2 February 294:30-5:30pmMS 5137 Jayce Getz, Princeton The relative trace formula with a view towards simple Shimura varieties Pictures Audio March 3 Nir Avni, Hebrew University / UCLA Representation Growth of Arithmetic Groups Pictures Audio March 10 Jim Brown, Caltech Saito-Kurokawa lifts and lower bounds on Selmer groups March 124:30-5:30pmMS 5137 Paul-Olivier Dehaye, Oxford New approaches to Random Matrix Theory problems motivated by Number Theory March 17MS 5118 Lin Weng, Kyushu university Weyl Symmetry and the Riemann Hypothesis

 Fall 2007 Organizers: Iftikhar Burhanuddin, Paul Jenkins Talks will take place in MS 6627 from 4:30-5:30 unless indicated otherwise Date Speaker & Title October 1 No seminar October 8 Iftikhar Burhanuddin, UCLA Some computational problems motivated by the Birch and Swinnerton-Dyer conjecture Slides Audio October 15 Rizwanur Khan, UCLA Non-vanishing of the central value of the symmetric square L-function October 22 Jared Weinstein, UCLA Local Langlands and the stable reduction of modular curves Pictures Audio October 29 Lenny Fukshansky, Claremont McKenna Effective theorems for quadratic spaces via height Pictures Audio October 31 4:00-4:50pm MS 5128 Haruzo Hida, UCLA Igusa Varieties I November 5 Mirela Çiperiani, Columbia University Tate-Shafarevich groups over anticyclotomic Z_p extensions at supersingular primes Pictures Audio November 7 1:00-1:50pm MS 5128 Haruzo Hida, UCLA Igusa Varieties II November 7 4:00-4:50pm MS 5128 Gebhard Böckle, IEM, Essen Drinfeld modular forms and Hecke characters Pictures Audio November 12 No seminar --- Veterans Day November 14 4:00-4:50pm MS 5128 Haruzo Hida, UCLA Igusa Varieties III November 19 Igor Shparlinski, Macquarie University Lang-Trotter and Sato-Tate conjectures on average Pictures Audio November 26 Ahmad El-Guindy, Texas A&M University Fourier Expansions with Modular Form Coefficients Pictures Audio November 28 4:00-4:50pm MS 5128 Haruzo Hida, UCLA Igusa Varieties IV December 3 John Leo, UCLA Fourier Coefficients of Triangle Functions Pictures Audio December 5 4:00-4:50pm MS 5128 Katherine Stange, Brown University Elliptic Nets Pictures Audio

 Spring 2007 Organizers: Nathan Ryan, Paul Jenkins Date Speaker & TitleTalks in MS6229 from 5-6 unless noted differently April 2 Lin Weng, Kyushu University High Rank Zeta and Its Zeros April 9 Eknath Ghate, Tata Institute Deformation Theory and Galois Representations MS6229 from 5-6 April 23 Rob de Jeu, Vrije Universiteit Amsterdam / Caltech The p-adic Beilinson conjecture for number fields MS6229 from 5-6 Note Different Day: April 27 Tonghai Yang, Wisconsin An arithmetic intersection formula on a Hilbert modular surface MS6229 from 5-6 April 30 Eknath Ghate, Tata Institute Split Selmer in the Reducible Case MS6229 from 5-6 May 1 Shouwu Zhang, Columbia (DLS Speaker) Rational points on curves MS 6627 from 2-3 May 2 Shouwu Zhang, Columbia (DLS Speaker) Gross-Zagier formula and Birch and Swinnerton-Dyer Conjecture MS 6621 from 2-3 May 3 Shouwu Zhang, Columbia (DLS Speaker) Triple L-series and effective Mordell conjecture MS 5217 from 2-3 May 7 Christopher Storm, Dartmouth College Hypergraph zeta functions MS6229 from 5-6 Note Different Day: May 9 Brian Conrad, University of Michigan Lifting CM abelian varieties to characteristic 0 MS6229 from 5-6 May 14 Jacques Tilouine, Paris 13 Companion forms and BGG dual complex, I MS6229 from 5-6 May 21 Jacques Tilouine, Paris 13 Companion forms and BGG dual complex, II MS6229 from 5-6

 Winter 2007 Organizers: Nathan Ryan, Paul Jenkins Date Speaker & Title January 22 Paul Jenkins, UCLA Borcherds products, Zagier duality, and traces of singular moduli 4:30 - 6:00 in MS 5127 February 5 Nathan Ryan, UCLA Efficient Verfication of Tunnell's Criterion 4:30 - 6:00 in MS 5127 February 20 William Stein, University of Washington SAGE -- Free Mathematics Software for Algebra, Geometry, Number, and more. 4:30 - 6:00 in MS 5148 (note day and room change) February 26 Haesang Sun, UCLA Abelian Modular symbols and $\mu$-invariant 4:30 - 6:00 in MS 5127 March 5 Margaret Upton, UCLA Galois Representations Attached to Picard Curves 5:00 - 6:00 in MS 5127 note later start March 8 Guido Kings, Regensburg Colloquium - TBA 4:15-5:05 in MS 6627 March 19 TBA TBA 4:30 - 6:00 in MS 5127

 Fall 2006 Organizers: Nathan Ryan, Paul Jenkins Date Speaker & Title Oct 9 Eliot Brenner, Ben Gurion University Heat Eisenstein Series and Applications 4:30 - 6:00 in MS6943 Oct 11 Igor Shparlinski, Macquarie University Inversions 4:00 - 5:00 in MS6943 Oct 11 Joseph Silverman, Brown University Dynamical Systems from an Arithmetical Viewpoint 5:15 - 6:15 in MS6943 Oct 19 Chandrashekhar Khare, University of Utah Colloquium: Galois representations and modular forms 4:15 - 5:15 in MS6627 Oct 20 Chandrashekhar Khare, University of Utah Serre's modularity conjecture 4:00-5:30 in MS6229 Oct 26 Tetsushi Ito, Kyoto University Colloquium: Hasse invariants and the bad reduction of unitary Shimura varieties I 3:00 pm - 4:00 pm in MS6627 Oct 26 Joel Bellaiche, Columbia University Colloquium: A conjecture of Bloch-Kato and automorphic forms 4:15 pm - 5:15 pm in MS6627 Oct 27 Tetsushi Ito, Kyoto University Hasse invariants and the bad reduction of unitary Shimura varieties II 4:00-5:10 in MS6943 Oct 27 Joel Bellaiche, Columbia University Geometry of eigenvarieties and Selmer groups. 5:20-6:30 in MS6943 Nov 6 Luis Dieulefait, Universitat de Barcelona Geometric families of Galois representations: existence, ell-independence, modularity and other properties 4:30 - 6:00 in MS6943 Nov 13 Charles Denis, Microsoft The computational complexity of modular forms 4:30 - 6:00 in MS6943 TuesDec 5 Alf van der Poorten, Centre for Number Theory Research Paperfolding, automata, and rational functions 4:30 in MS 5147

Spring 2006 Lectures

Regular meeting time: Mondays 4:30 to 6:00pm
Place: MS 6221 except as noted below

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) Thursday, April 6, 2-3pm in MS 6221 Roger Heath-Brown University of Oxford Rational points on cubic hypersurfaces April 10 Alex Ghitza McGill & MSRI A theta operator for Siegel modular forms (mod p) April 19, 4.30 -6.00 pm, MS 5217 Note special date and time R. Parimala Emory University, Tata Institute & MSRI Zeros of quadratic forms over function fields of p-adic curves April 24 Brian Conrad Michigan Asymptotics related to prime specialization and average behavior of the Mobius function over finite fields May 1 Mirela Ciperjani Columbia/MSRI Solvable points on genus one curves May 8 Alina Cojocaru Princeton & MSRI Frobenius fields for Drinfeld modules of rank 2 May 15 William McCallum University of Arizona Shafarevich-Tate groups of Jacobians of Fermat Curves: A Survey of Old and New Results May 22 V. Srinivas Tata Institute Some examples of Chow groups over p-adic fields June 5 Jens Groth UCLA Non-interactive Zero-Knowledge Proofs from Elliptic Curves

Winter 2006 Lectures

Regular meeting time: Mondays 4:30‒6:00pm
Place: *MS 5147* except as noted below

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) January 9 Eric Wambach Caltech Special Values of L functions January 23 Ameya Pitale Ohio State Lifting of Cusp forms from $\tilde{SL_2}$ to $GSpin(1,4)$ January 30 Jason Colwell UCSD The Conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication by a nonmaximal order February 6 Amanda Folsom UCLA Modular Units Tuesday, February 14, 12 - 1pm in MS 6627 Mihran Papikian Stanford On the number of rational points on Drinfeld modular varieties over finite fields February 27 Ravi Ramakrishna Cornell The reducible case of Serre's conjectures March 6 Iftikhar Burhanuddin USC Some computational problems motivated by the BSD conjecture March 13, 5-6pm MS 5147 Hiroyuki Yoshida On p-adic absolute CM periods I March 15, chair's conference room 4:30pm Hiroyuki Yoshida On p-adic absolute CM periods II

Fall 2005 Lectures

Regular meeting time: Mondays 4:30--6:00pm
Place: MS 5137 except as noted below

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) Oct. 10 Matthias Flach Caltech Weil-etale cohomology Oct. 18,  Tuesday 4:30‒6:00pm in MS 6627 Daqing Wan UCI Arithmetic Mirror Symmetry Oct. 24 Yangbo Ye University of Iowa Subconvexity bounds for Rankin-Selberg L-functions for congruence subgroups Oct. 31 Jayce Getz Univ. of Wisconsin, Madison Hilbert modular generating functions with coefficients in intersection homology Nov. 7 Brooke Feigon UCLA A relative trace formula in the local setting Nov. 14 Kartik Prasanna UCLA Elliptic curves, quadratic twists and p-(in)divisibility of L-values Nov. 21, 1.00-2.00 pm, HAINES A20 Erez Lapid Hebrew University Base change and values of automorphic forms Nov. 21, 4.30-5.30 pm, MS 5137 Matt Young AIM Analytic number theory and elliptic curves Nov. 28 Nathan Ryan UCLA Siegel modular forms and their Satake parameters Dec. 2, Friday (1st talk) 10-11am in MS 5128 William Stein UCSD Verification of the Birch and Swinnerton-Dyer Conjecture for Specific Elliptic Curves Dec. 2, Friday (2nd talk) 3pm in MS 5127 Jacques Tilouine Univ. Paris 13 Siegel varieties and Siegel modular forms Dec. 5 Keith Ouellette UCLA A new proof of the Plancherel formula in the adelic setting Dec. 12 Eknath Ghate Tata Institute On the local behaviour of ordinary Galois representations Dec. 15, Thursday Lin Weng Kyushu University Non-abelian L-functions

Spring 2005 Lectures

Meeting time:   Mondays 4:30--5:30pm
Place: MS 6221 except as noted below

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) April 4 Lillian Pierce Princeton A Bound for the 3-Part of Class Numbers of Quadratic Fields via the Square Sieve April 11 no talk April 18 no talk April 25 Jason Lucier University of Waterloo Intersective Sets April 29, Friday 4pm MS 6943 Brian Conrad University of Michigan, Ann Arbor TBA May 2 Hee Oh Caltech Equidistribution of rational matrices in their conjugacy classes May 9 Andrew Booker University of Michigan, Ann Arbor Effective computation of Maass cusp forms May 16 --- May 23 Kathrin Bringmann University of Wisconsin, Madison Traces of Singular Moduli on Hilbert Modular Surfaces May 30 no talk June 6 Arvind Nair Tata Institute On the motive of a Shimura variety

Winter 2005 Lectures

Regular meeting time: Tuesdays 4:30--5:30pm
Place: MS 6627 except as noted below

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) January 11,  11:00 -12:00pm in the Chair's conference room Jordan Ellenberg Princeton Descent bounds for rational points on varieties January 11   (regular time and place) Terence Tao UCLA Long arithmetic progressions in the primes Friday, January 14,    4:00 -5:00pm  MS 6627 Note:  Special Day Dorian Goldfeld Columbia Multiple Dirichlet series, an historical survey January 18 EricUrban Columbia Eigenvarieties for reductive groups and applications January 25 no talk February 1 Martin Weissman UC Berkeley D4 modular forms February 8 Akshay Venkatesh CMI Weyl's law for cusp forms February 15 no talk February 22 HaeSang Sun UCLA Rational Function Measure and Non-vanishing mod $p$ of $L$-values March 1 no talk March 8 Alice Silverberg UCI Algebraic tori in cryptography March 15 Claus Sorensen Caltech Level-raising for Saito-Kurokawa  forms

Fall 2004 Lectures

Regular meeting time: Tuesdays 4:30--5:30pm
Place: MS 6627 except as noted below

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) Oct. 5 No talk -- -- Oct. 12, 4.15-5.15 pm Note: Special time Haruzo Hida UCLA The integral basis problem of Eichler Oct. 19, Room: MS 5127 Note: Special room Karl Rubin UC Irvine Selmer modules and skew-hermitean matrices Oct. 21, 1:00pm, MS 6627. Note: Special day and time Steve Gelbart Weizmann Institute Lower bounds for L-functions Oct. 26 Nathan Jones UCLA Almost all elliptic curves are Serre curves Oct. 28, 2:00pm, MS 6627. Note: Special day and time Serge Lang Yale ABC conjecture Nov. 2 Kenneth Tignor UCLA Semi-stable curves + the weight-monodromy conjecture Nov. 9 David Savitt Mcgill On a conjecture of Conrad, Diamond and Taylor Nov. 16 Jens Funke New Mexico Traces of special values of modular functions Mon, Nov. 22, Note: Special day Daniel Bump Stanford Automorphic Summation Formulae Moments of the Riemann Zeta Function Nov. 30 Meera Thillainatesan UCLA A Kernel for Automorphic L-functions Dec. 7 Jacques Tilouine University of Paris, 13 Low weight rank four Galois representations and Siegel modular forms

Spring 2004 Lectures

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) April 20 Patrick Brosnan UCLA Periods, motives and Feynman amplitudes April 27 Brian Conrad University of Michigan Root numbers and ranks over global function fields May 4 Jeff Stopple UCSB Deuring-Heilbronn phenomenon and Euler's idoneal numbers May 18 Ben Brubaker Stanford Applications of Eisenstein series on the metaplectic group June 1 Michael Harris Jussieu Congruences of endoscopic and stable forms and applications to p-adic L-functions; Special time and place: 4.00pm, MS 6627

Winter 2004 Lectures

Regular meeting time: Mondays 4:30--5:30pm
Place: MS 6221

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) Jan. 19 No seminar --- Martin Luther King Jr. holiday Jan. 26 Don Blasius UCLA Zeta functions of quaternionic Shimura varieties Feb. 2 Samit Dasgupta UC Berkeley Elliptic units for real quadratic fields Note: Special time and room: 1.00pm-2.00pm, MS 6943 Feb. 3 Erez Lapid Hebrew University Classification of the generic unitary dual for classical groups over a local field Note: Special time and room: 2.00pm-3.00pm, MS 6118 Feb. 4 Erez Lapid Hebrew University Explicit trace identities Note: Special time and room: 1.00pm-2.00pm, MS 6943 Feb. 9 Kapil Paranjape IMSc., Chennai A geometric characterisation of arithmetic varieties Special Time : 5.00 pm Feb. 16 No seminar --- President's day holiday Mar. 8 Dinakar Ramakrishnan Caltech Average L-values, class numbers and rational points

Fall 2003 Lectures

Regular meeting time: Mondays 4:30--5:30pm
Place: MS 6221

 Date Speaker Affiliation Title and Abstract (Click on title for the abstract) Oct. 6 Adebisi Agboola UC Santa Barbara Anticyclotomic main conjectures for CM elliptic curves Oct. 27 Wee Teck Gan UC San Diego Counting embeddings of cubic rings and Fourier coefficients Nov. 3 Cristian Virdol UCLA Zeta functions of twisted quaternionic Shimura varieties Nov. 10 Edray Goins Caltech On the modularity of wildly ramified Galois representations         Notes for this talk Nov. 17 Mladen Dimitrov Univ. Paris 13 Galois representations modulo p and cohomology of Hilbert modular varieties         Notes for this talk Nov. 24 Kartik Prasanna UCLA Integrality of a period ratio and level-lowering congruences Dec. 1 Ryan Daileda UCLA Zero Density of $L$-functions and Extreme Class Numbers Dec. 8 A. Yamagami Hokkaido On $p$-adic automorphic forms over totally real fields