Past Events

The little $n$-dimensional disks operad is a fundamental object in algebraic topology and in some other fields. In particular it is a structure which encodes the natural multiplicative structure on iterated loop spaces, more generally multiplicative...

AbstractIn a pioneering paper V. Arnold presented a general framework within which it is possible to employ geometric and Lie theoretic techniques to study a variety of equations of interest in mathematical physics. I will describe how to extend his...

Abstract: Quillen introduced a notion of homology in terms of derivedabelianization. Working in the contexts of operadic algebras in chain complexes and spectra, we prove a finiteness theorem relating finiteness properties of Quillen homology groups...

This is a continuation on the mini cycle about Simplicial Presheaves in Topology and Algebraic Geometry

Vanishing theorems and rational singularities are closely related and play important roles in classification theory as well as other areas of algebraic geometry. In this talk I will discuss these roles their interrelations and a new notion that helps...

characters of p-adic groups

Siegel modular forms

Thanks to the work of Howe, Freitag, J.-S. Li, and most others, we can identify the holomorphic Siegel modular forms of degree n that arise as theta liftings associated with quadratic forms in at most n variables in terms of their Fourier...

I will talk about a class of functions on local fields that can be defined by means of logic (the so-called constructible exponential functions). These functions are in a sense built from charactersitic functions of balls, and additive characters of...