Events and Activities

The fundamental group $\pi_1(X)$ is an important invariant of a complex algebraic variety X.  Despite its topological nature, it is closely connected to the geometry of many algebraic structures on X.  In this talk I want to discuss two elementary...

Schubert varieties are known to be Frobenius split in positive characteristic by the work of Mehta and Ramanathan. More recently, Bhatt showed that the full flag variety for $GL_n$ is a splinter by entirely different methods. In this talk, we will...

Zimmer proposed the study of higher-rank semisimple group actions in the 1980's after showing certain rigidity results, especially about associated cocycles in the measurable category. In this talk, I will describe recent progress towards...

In many groups, the optimal diameter for the solutions of the isoperimetric problem is asymptotically equivalent to the lower bound coming from their cardinality; in this situation one says that the Følner function is lossless with respect to the...

Given two families of loops on a closed smooth manifold, one can concatenate the loops at the intersections points of these families to obtain a new family of loops. This is the Chas–Sullivan product on the homology of the free loop space of a...

We construct the tame part of a split anticyclotomic Euler system in a setting where local multiplicity one does not hold. Instead of the traditional zeta integral approach, we prove the existence of the necessary test vectors using a new method...