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Autumn Semester 2013

Date / Time Speaker Title Location
20 September 2013
14:15-15:15
Details

Number Theory Seminar

Title no seminar in the first week
Speaker, Affiliation
Date, Time 20 September 2013, 14:15-15:15
Location HG G 34
no seminar in the first week
HG G 34
27 September 2013
14:15-15:15 		Prof. em. Dr. Richard Pink
ETH Zurich, Switzerland
Details

Number Theory Seminar

Title Iterated monodromy groups for quadratic morphisms: Overview
Speaker, Affiliation Prof. em. Dr. Richard Pink, ETH Zurich, Switzerland
Date, Time 27 September 2013, 14:15-15:15
Location HG G 34
Iterated monodromy groups for quadratic morphisms: Overview
HG G 34
4 October 2013
14:15-15:15 		Prof. Dr. William Duke
University of California, Los Angeles
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Number Theory Seminar

Title Harmonic Maass forms of weight one
Speaker, Affiliation Prof. Dr. William Duke, University of California, Los Angeles
Date, Time 4 October 2013, 14:15-15:15
Location HG G 43
Harmonic Maass forms of weight one
HG G 43
11 October 2013
14:15-15:15 		Prof. em. Dr. Richard Pink
ETH Zurich, Switzerland
Details

Number Theory Seminar

Title Certain self-similar subgroups of the automorphism group of a tree and their properties
Speaker, Affiliation Prof. em. Dr. Richard Pink, ETH Zurich, Switzerland
Date, Time 11 October 2013, 14:15-15:15
Location HG G 43
Certain self-similar subgroups of the automorphism group of a tree and their properties
HG G 43
25 October 2013
14:15-15:15 		Prof. Dr. Emmanuel Kowalski
ETH Zurich, Switzerland
Details

Number Theory Seminar

Title Spectral sequences to the rescue
Speaker, Affiliation Prof. Dr. Emmanuel Kowalski, ETH Zurich, Switzerland
Date, Time 25 October 2013, 14:15-15:15
Location HG G 43
Abstract (joint with E. Fouvry and Ph. Michel) We will present some questions involving families of exponential sums, partly motivated by the current improvement from the Polymath8 project to Zhang's bounds on gaps between prime numbers. These lead naturally to problems of algebraic geometry over finite fields, and in particular to considerations where spectral sequences are used to replace the classical technique of exchange of sums in analytic number theory.
Spectral sequences to the rescueread_more
HG G 43
1 November 2013
14:15-15:15 		Dr. Miranda Cheng
Institut de Mathématiques de Jussieu
Details

Number Theory Seminar

Title Mock Modular Forms in Umbral Moonshine
Speaker, Affiliation Dr. Miranda Cheng, Institut de Mathématiques de Jussieu
Date, Time 1 November 2013, 14:15-15:15
Location HG G 43
Abstract Recently, a new type of moonshine has been discovered relating finite groups obtained from Niemeier lattices and a set of mock modular forms, including many of the mock theta series of Ramanujan. In this talk I will describe this "umbral moonshine" and explain the construction of the mock modular forms involved. This talk will be based on work with J Duncan and J Harvey.
Mock Modular Forms in Umbral Moonshineread_more
HG G 43
8 November 2013
14:15-15:15 		Prof. Dr. Tomoyoshi Ibukiyama
Osaka University, Japan
Details

Number Theory Seminar

Title Differential operators on Siegel modular forms and various applications
Speaker, Affiliation Prof. Dr. Tomoyoshi Ibukiyama, Osaka University, Japan
Date, Time 8 November 2013, 14:15-15:15
Location HG G 43
Abstract After giving a general theory of differential operators on holomorphic Siegel modular forms which behaves well under the restriction of the domain, I will give a quick survey on what can be done by using such operators, including 1) Construction of Siegel modular forms or Jacobi forms of higher degree and determination of their structures. 2) Explicit calculations of the critical values of L functions 3) Theory of special functions such as orthogonal polynomials and new holonomic systems.
Differential operators on Siegel modular forms and various applicationsread_more
HG G 43
15 November 2013
14:15-15:15 		Prof. Dr. Fernando Rodriguez Villegas
University of Texas at Austin
Details

Number Theory Seminar

Title Hypergeometric Motives
Speaker, Affiliation Prof. Dr. Fernando Rodriguez Villegas, University of Texas at Austin
Date, Time 15 November 2013, 14:15-15:15
Location HG G 43
Abstract I will discuss how the motives of the title give rise to a whole class of computable L-functions with a wide range of parameter values (conductor, rank, Hodge type, etc.). These one parameter families of motives are defined by very simple data corresponding to a classical hypergeometric differential equation (of Gauss, Riemann, etc. in rank two). This work is joint with a team of collaborators.
Hypergeometric Motivesread_more
HG G 43
22 November 2013
14:15-15:15 		Prof. Dr. Olav Richter
University of North Texas, USA
Details

Number Theory Seminar

Title Siegel modular forms mod p and U(p)-congruences
Speaker, Affiliation Prof. Dr. Olav Richter, University of North Texas, USA
Date, Time 22 November 2013, 14:15-15:15
Location HG G 43
Abstract I will report on recent joint work with Martin Raum on congruences of Siegel modular forms. Specifically, I will discuss the ring structure of Siegel modular forms of degree g modulo a prime p, and I will present a characterization of U(p)-congruences of Siegel modular forms.
Siegel modular forms mod p and U(p)-congruencesread_more
HG G 43
29 November 2013
14:15-15:15 		Dr. Farrell Brumley
Université Paris 13
Details

Number Theory Seminar

Title Counting cusp forms by analytic conductor
Speaker, Affiliation Dr. Farrell Brumley, Université Paris 13
Date, Time 29 November 2013, 14:15-15:15
Location HG G 43
Abstract Given a reductive group over a global field, a natural question is to count the number of cuspidal automorphic representations of bounded analytic conductor. The set-up is highly reminiscent of counting rational points of bounded height on certain algebraic varieties. We'll discuss a proper formulation of the automorphic problem and present a few recent results, obtained in collaboration with Djordje Milicevic, for general linear groups and certain orthogonal groups.
Counting cusp forms by analytic conductorread_more
HG G 43
6 December 2013
14:15-15:15 		Dr. Dan Petersen
ETH Zurich, Switzerland
Details

Number Theory Seminar

Title Cohomology of local systems on the moduli of principally polarized abelian surfaces
Speaker, Affiliation Dr. Dan Petersen, ETH Zurich, Switzerland
Date, Time 6 December 2013, 14:15-15:15
Location HG G 43
Abstract Let A_2 be the moduli space of principally polarized abelian surfaces. To any irreducible representation of Sp(4) one may attach a local system on A_2. I will report on recent work in which I determined the l-adic cohomology of these local systems in arbitrary degree. This has applications to the study of Siegel modular forms and to moduli of curves.
Cohomology of local systems on the moduli of principally polarized abelian surfacesread_more
HG G 43
13 December 2013
14:15-15:15 		Dr. Francesco Lemma
Université Paris 7; Institut de Mathématiques de Jussieu
Details

Number Theory Seminar

Title On higher regulators of siegel threefolds: the vanishing on the boundary
Speaker, Affiliation Dr. Francesco Lemma, Université Paris 7; Institut de Mathématiques de Jussieu
Date, Time 13 December 2013, 14:15-15:15
Location HG G 43
Abstract I will present the construction of extensions of mixed Hodge structures in the image of Beilinson's regulator, which are conjecturally related to non-critical values of the degree four L-function of some automorphic representations of GSp(4). The key ingredient of the proof is the computation of higher direct images of variation of Hodge structure on the boundary strata of the minimal compactifications of the considered Shimura varieties.
On higher regulators of siegel threefolds: the vanishing on the boundaryread_more
HG G 43
20 December 2013
14:15-15:15 		Dr. Pietro Corvaja
University of Udine
Details

Number Theory Seminar

Title Integral points in two-parameter orbits
Speaker, Affiliation Dr. Pietro Corvaja, University of Udine
Date, Time 20 December 2013, 14:15-15:15
Location HG G 43
Integral points in two-parameter orbits
HG G 43

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

Archive: AS 24 SS 24 AS 23 SS 23 AS 22 SS 22 AS 21 SS 21 AS 20 SS 20 AS 19 SS 19 AS 18 SS 18 AS 17 SS 17 AS 16 SS 16 AS 15 SS 15 AS 14 SS 14 AS 13 SS 13 AS 12 SS 12 AS 11 SS 11 AS 10 SS 10 AS 09

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