Number theory seminar

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Spring Semester 2014

Date / Time

Speaker

Title

Location

* 7 March 2014
15:15-17:30

Event Details

Number Theory Seminar

Title	Number Theory Days
Speaker, Affiliation
Date, Time	7 March 2014, 15:15-17:30
Location	HG G 5

Number Theory Days

HG G 5

* 8 March 2014
09:00-12:45

Event Details

Number Theory Seminar

Title	Number Theory Days
Speaker, Affiliation
Date, Time	8 March 2014, 09:00-12:45
Location	HG G 5

Number Theory Days

HG G 5

14 March 2014
14:15-15:15

Prof. Dr. Benjamin Sudakov
ETH Zurich, Switzerland

Event Details

Number Theory Seminar

Title	Induced Matchings, Arithmetic Progressions and Linearity Testing
Speaker, Affiliation	Prof. Dr. Benjamin Sudakov, ETH Zurich, Switzerland
Date, Time	14 March 2014, 14:15-15:15
Location	HG G 43
Abstract	Extremal Combinatorics is one of the central branches of discrete mathematics which deals with the problem of estimating the maximum possible size of a combinatorial structure which satisfies certain restrictions. Often, such problems have also applications to other areas including Theoretical Computer Science, Additive Number Theory and Information Theory. In this talk we will illustrate this fact by several closely related examples focusing on a recent work with Alon and Moitra.

Induced Matchings, Arithmetic Progressions and Linearity Testingread_more

HG G 43

21 March 2014
14:15-15:15

Ian Petrow
EPF Lausanne

Event Details

Number Theory Seminar

Title	Asymptotic Formulas for Moments of L-functions
Speaker, Affiliation	Ian Petrow, EPF Lausanne
Date, Time	21 March 2014, 14:15-15:15
Location	HG G 43
Abstract	I will discuss the classical problem of estimating moments of L-functions with emphasis on those L-functions coming from automorphic forms. In particular, I will give an asymptotic formula for the cubic moment of GL_2 L-functions which was previously estimated by Conrey and Iwaniec. This is the first such formula which has been given for a moment of L-functions whose ratio of conductor to family size is comparable to the sixth moment of the Riemann zeta function.

Asymptotic Formulas for Moments of L-functionsread_more

HG G 43

28 March 2014
14:15-15:15

Prof. Dr. Tonghai Yang
University of Wisconsin

Event Details

Number Theory Seminar

Title	Big CM values of automorphic Green functions
Speaker, Affiliation	Prof. Dr. Tonghai Yang, University of Wisconsin
Date, Time	28 March 2014, 14:15-15:15
Location	HG G 43
Abstract	In 1985, Gross and Zagier discovered a beautiful factorization formula for the norm of singuli moduli, i.e, $j(\tau_1) -j(\tau_2)$ where $j$ is the famous j-function and \tau_i are two imaginary numbers of different discriminant. Since j(\frac{1+\sqrt{-3}}2=0$, this also gives a factorization formula for norm of j(tau). One amusing fact is that although these numbers are huge, its prime factor are very small. Using regularized theta lifting and Borcherds product, Schofar generalized the work to `small' CM values of Borcherds forms on a Shimura variety, covering in particular the norm of j(tau), but not the norm of difference. In this talk, we will discuss how to extend the idea to get similar result and generalization to `big CM', which also cover the norm of difference. By enlarging the class of weakly holomorphic forms (in the starting point), we also deal with the so-called automorphic green functions and the central derivative of L-function shows up naturally.

Big CM values of automorphic Green functionsread_more

HG G 43

4 April 2014
14:15-15:15

Prof. Dr. Tanguy Rivoal
Université Grenoble 1

Event Details

Number Theory Seminar

Title	Values of E and G functions
Speaker, Affiliation	Prof. Dr. Tanguy Rivoal, Université Grenoble 1
Date, Time	4 April 2014, 14:15-15:15
Location	HG G 43

Values of E and G functions

HG G 43

2 May 2014
14:15-15:15

Prof. Dr. Dimitar Jetchev
EPF Lausanne

Event Details

Number Theory Seminar

Title	Hecke and Galois Properties of Special Cycles on Unitary Shimura Varieties
Speaker, Affiliation	Prof. Dr. Dimitar Jetchev, EPF Lausanne
Date, Time	2 May 2014, 14:15-15:15
Location	HG G 43
Abstract	We define a collection of special 1-cycles on certain Shimura 3-folds associated to U(2,1) x U(1,1) and appearing in the context of the Gan--Gross--Prasad conjectures. We study and compare the action of the Hecke algebra and the Galois group on these cycles via distribution relations and congruence relations that would ultimately lead to the construction of a novel Euler system for these Shimura arieties. The comparison is achieved adelically using Bruhat--Tits theory for the corresponding buildings.

Hecke and Galois Properties of Special Cycles on Unitary Shimura Varietiesread_more

HG G 43

9 May 2014
14:15-15:15

Prof. Dr. Yves Martin
Universidad de Chile

Event Details

Number Theory Seminar

Title	Integral kernels for Dirichlet series associated to Jacobi forms
Speaker, Affiliation	Prof. Dr. Yves Martin, Universidad de Chile
Date, Time	9 May 2014, 14:15-15:15
Location	HG G 43

Integral kernels for Dirichlet series associated to Jacobi forms

HG G 43

* 16 May 2014
11:00-12:00

Prof. Dr. Torsten Wedhorn
Universität Paderborn

Event Details

Number Theory Seminar

Title	Title T.B.A.
Speaker, Affiliation	Prof. Dr. Torsten Wedhorn, Universität Paderborn
Date, Time	16 May 2014, 11:00-12:00
Location	HG G 43

Title T.B.A.

HG G 43

16 May 2014
14:15-15:15

Riccardo Salvati Manni
Università di Roma "La Sapienza"

Event Details

Number Theory Seminar

Title	A Parametrization of the box variety by theta functions
Speaker, Affiliation	Riccardo Salvati Manni, Università di Roma "La Sapienza"
Date, Time	16 May 2014, 14:15-15:15
Location	HG G 43

A Parametrization of the box variety by theta functions

HG G 43

Note: events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location.

Organizers: Özlem Imamoglu, Emmanuel Kowalski, Richard Pink, Martin Raum, Gisbert Wüstholz

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