Past Events

I will introduce the notion of categorical resolution of singularities which is based on the concept of a smooth DG algebra. Then I will compare this notion with the traditional resolution in algebraic geometry and give some examples.

In 2007, assuming the Riemann Hypothesis (RH), Soundararajan \cite{Moment} proved that the 2k-th moments of the Riemann zeta function on the critical line is bounded by T(log T)^{k^2 + epsilon} for every k positive real number and every epsilon > 0...

Natural landscapes are often not homogeneous but show spatial variation in environmental conditions. Natural and human disturbances result in additional landscape fragmentation and heterogeneity. In this talk, I will consider (a) conditions under...

In this talk we outline the main ideas that come upon the computation of quotients of tori by actions of Z/p induced by linear representations of Z/p. These are called toroidal orbifolds. The talk will be aimed to a general audience. This is joint...

At certain special points, the values of the Riemann zeta function and many other L-functions are algebraic, up to a well-determined transcendental factor. G. Shimura, H. Maass, and M. Harris extensively studied a class of differential operators on...

According to the Birch and Swinnerton-Dyer conjecture, the order of the Tate-Shafarevich group can be expressed as the ratio of several invariants of the curve. However, this ratio involves two numbers which are expected to be irrational; namely $L^{...

I will speak about the cohomology of the middle degree of graph hypersurfaces of some special Feynman graphs, the "generalised zigzag" graphs, and about how to connect this to counting rational points of this hypersurfaces. Then I will explain, why...

I will survey some recent results on several types of aggregation equations. These are continuum models used to describe the swarming phenomenon in biology. I will focus on mathematical issues related to the basic understanding of these equations...

The braid group has a left-invariant total ordering, called the Dehornoy ordering. In this talk, I will introduce the Dehornoy floor of braids, which measures a complexity of braids by using the Dehornoy ordering. I will give a new lower bound of...