## Automorphic Cohomology I (General Theory)

These two talks will be about automorphic cohomology in the non-classical

case.

Phillip Griffiths

Institute for Advanced Study

February 16, 2011

These two talks will be about automorphic cohomology in the non-classical

case.

Melissa Tacy

Institute for Advanced Study

February 16, 2011

Toniann Pitassi

University of Toronto

February 15, 2011

Shachar Lovett

Institute for Advanced Study

February 14, 2011

Recently there has been much interest in polynomial threshold functions in the context of learning theory, structural results and pseudorandomness. A crucial ingredient in these works is the understanding of the distribution of low-degree multivariate polynomials evaluated over normally distributed inputs. In particular, the two important properties are exponential tail decay and anti-concentration.

Christine Taylor

Harvard University; Member, School of Mathematics

February 14, 2011

The basic ingredients of Darwinian evolution, selection and mutation, are very well described by simple mathematical models. In 1973, John Maynard Smith linked game theory with evolutionary processes through the concept of evolutionarily stable strategy. Since then, cooperation has become the third fundamental pillar of evolution. I will discuss, with examples from evolutionary biology and ecology, the roles played by replicator equations (deterministic and stochastic) and cooperative dilemma games in our understanding of evolution.

Ivan Corwin

Courant Institute of Mathematics, New York University

February 11, 2011

ANALYSIS/MATHEMATICAL PHYSICS SEMINAR

Eric Urban

Columbia University; Member, School of Mathematics

February 10, 2011

**GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR**

Christopher Skinner

Princeton University; Member, School of Mathematics

February 10, 2011

Larry Guth

University of Toronto; Member, School of Mathematics

February 9, 2011

James Newton

Member, School of Mathematics

February 9, 2011

In this talk, I will describe a construction of a geometric realisation of a p-adic Jacquet-Langlands correspondence for certain forms of GL(2) over a totally real field. The construction makes use of the completed cohomology of Shimura curves, and a study of the bad reduction of Shimura curves due to Rajaei (generalising work of Ribet for GL(2) over the rational numbers). Along the way I will also describe a p-adic analogue of Mazur's principle in this setting.