Previous Conferences & Workshops

I will discuss a theorem obtained in joint work with Wyss and Ziegler, which is devoted to describing the Frobenius traces for the IC sheaf on moduli space of objects in symmetric abelian categories linear over a finite field. The formula is...

The theme of the lecture is the notion of points over F1, the field with one element. Several heuristic computations led to certain expectations on the set of F1-points: for example the Euler characteristic of a smooth projective complex variety X...

The Poisson-Furstenberg boundary  is a measure space that describes asymptotics of infinite trajectories of random walks. The boundary is non-trivial if and only if the defining  measure admits non-constant bounded harmonic functions. 

The origin of...

Suppose Alice wants to convince Bob of the correctness of k NP statements. Alice could send the k witnesses to Bob, but as k grows the communication becomes prohibitive. Is it possible to convince Bob using smaller communication? This is the...

In the 1960s, Kirillov’s orbit method provided a striking correspondence between irreducible representations of a Lie group $G$ and certain geometric objects called coadjoint orbits. In 2021, Nelson and Venkatesh profitably adapted this method to...

Schubert Calculus studies cohomology rings in (generalized) flag varieties, equipped with a distinguished basis - the fundamental classes of Schubert varieties - with structure constants satisfying many desirable properties. Cotangent Schubert...

How much information is needed to describe a trajectory in a dynamical system? The answer depends on what one means by dynamical system.

If our system is a probability measure space, and one has a time evolution (with either discrete or continuous...

Vertex decomposition, introduced by Provan and Billera in 1980, is an inductive strategy for breaking down and understanding simplicial complexes. A simplicial complex that is vertex decomposable is shellable, hence Cohen--Macaulay. Through the...