Previous Conferences & Workshops

Dec

17

2014

Topology of Algebraic Varieties

Periods, Calabi-Yau fibrations, and mirror symmetry

Charles Doran

11:15am|S-101

A decade ago, John Morgan and I classified all integral weight 3 VHS of Hodge type (1,1,1,1) which can underly a family of Calabi-Yau three folds over the thrice-punctured sphere, subject to conditions on monodromy coming from mirror symmetry. There...

Dec

17

2014

Analysis, Spectra and Number Theory, a Conference in Honor of Peter Sarnak’s 61st Birthday

From Ramanujan Graphs to Ramanujan Complexes

Alex Lubotzky

11:10am|Simonyi Hall 101

Ramanujan graphs has been defined and constructed in the 80's by Lubotzky-Phillips-Sarnak and by Margulis. In recent years a high dimensional theory of expanders is emerging and in particular Ramanujan complexes. In the talk we will present a joint...

Dec

17

2014

Analysis, Spectra and Number Theory, a Conference in Honor of Peter Sarnak’s 61st Birthday

Quantum ergodicity on large graphs

Nalini Anantharaman

10:10am|Simonyi Hall 101

Quantum ergodicity usually deals with the equidistribution of eigenfunctions of the Laplacian, in the high frequency limit, on a compact Riemannian manifold. Here I will present an attempt to prove a similar theorem on discrete graphs. We consider a...

Dec

16

2014

Analysis, Spectra and Number Theory, a Conference in Honor of Peter Sarnak’s 61st Birthday

A standard zero free region for Rankin-Selberg L-functions on GL(n)

Xiaoqing Li

4:00pm|Simonyi Hall 101

In this talk, we will derive a standard zero free region for Rankin-Selberg L-function L(s, fxf) where f is a tempered Maass form on GL(n). The method is based on the theory of Eisenstein series generalizing a work of Sarnak. This is a joint work...

Dec

16

2014

Analysis, Spectra and Number Theory, a Conference in Honor of Peter Sarnak’s 61st Birthday

Searching for thin groups

Nick Katz

2:40pm|Simonyi Hall 101

we seek families of curves with thin monodromy.

Dec

16

2014

Topology of Algebraic Varieties

Some algebro-geometric aspects of limiting mixed Hodge structure

Phillip Griffiths

2:00pm|S-101

This will be an expository talk, mostly drawn from the literature and with emphasis on the several parameter case of degenerating families of algebraic varieties.

Dec

16

2014

Analysis, Spectra and Number Theory, a Conference in Honor of Peter Sarnak’s 61st Birthday

Statistics of L-functions

J. Brian Conrey

1:40pm|Simonyi Hall 101

We give an analytic number theorist's perspective on the theory of families begun by Katz and Sarnak.

Dec

16

2014

Analysis, Spectra and Number Theory, a Conference in Honor of Peter Sarnak’s 61st Birthday

Arithmetic statistics and function fields

Jon Keating

11:10am|Simonyi Hall 101

I will review recent results with Edva Roditty-Gershon and Zeev Rudnick concerning the function-field analogues of conjectures relating to sums of arithmetic functions in short intervals and arithmetic progressions. Our approach uses the connection...

Dec

16

2014

Topology of Algebraic Varieties

The Archimedean Height and singularities in Hodge Theory

Patrick Brosnan

11:00am|Physics Library, Bloomberg Hall 201

In the theory of algebraic cycles, the archimedean height is a real number attached to null-homologous non-intersecting algebraic cycles on a smooth projective variety \(X\) whose dimensions add up to one less than the dimension of \(X\). For...

Dec

16

2014

Analysis, Spectra and Number Theory, a Conference in Honor of Peter Sarnak’s 61st Birthday

Sums of three squares and spatial statistics on the sphere

Zeev Rudnick

10:10am|Simonyi Hall 101

A celebrated result of Legendre and Gauss determines which integers can be represented as a sum of three squares, and for those it is typically the case that there are many ways of doing so. These different representations give collections of points...