Past Events
Recent developments in tropical geometry and matroid theory have led to the study of “volume polynomials” associated to tropical varieties, the coefficients of which record all possible degrees of top powers of tropical divisors. In this talk, I’ll discuss a volume-theoretic interpretation of…
Abstract
Some of the most important problems in combinatorial number theory ask for the size of the largest subset of the integers in an interval lacking points in a fixed arithmetically defined pattern. One example of such a problem is to prove the best possible bounds in Szemer\'edi's theorem on…
Organizational meeting/introduction for seminar on intersection theory
I will discuss the difficult problem of proving reasonable bounds in the multidimensional generalization of Szemerédi’s theorem and describe a proof of such bounds for sets lacking nontrivial configurations of the form (x,y), (x,y+z), (x,y+2z…
Recently, there has been a growing interest in approximating nonlinear functions and PDEs on tensor manifolds. The reason is simple: tensors can drastically reduce the computational cost of high-dimensional problems when the solution has a low-rank structure. In this talk, I will…
I will describe a construction of global Kuranishi charts for moduli spaces of stable holomorphic maps to a closed symplectic manifold. As an application, we deduce a product formula for Gromov-Witten invariants of symplectic manifolds. This is based on joint work with Amanda Hirschi.
Growth-fragmentation processes are examples of branching structures which may help to understand some features of random geometry. An instance of such a connection was revealed in a work of Bertoin, Budd, Curien and Kortchemski, where a remarkable branching structure appears in the scaling limit…