Title: Geometry of Severi varieties on toric surfaces
Abstract: In this talk I will give an overview of a series of works together with Xiang He and Ilya Tyomkin on the geometry of Severi varieties of toric surfaces. The main focus will be on the question of their irreducibility, the so called Severi problem, and its applications to the irreducibility of other moduli spaces of curves.
The…
Abstract: In this talk, I will quantitatively relate the resonance sets of certain hyperbolic surfaces to the resonance sets of certain metric graphs via the spine graph construction. Resonance sets of metric graphs are known to contain structures known as ‘resonance chains’, and so as a corollary I will show the existence of approximate resonance chains in resonance sets of these surfaces as specific geometric parameters become large. In the…
Title: Positive tropicalization and its applications
Abstract: Tropical geometry builds a bridge between algebraic and polyhedral geometry by transforming an algebraic variety into a polyhedral object that preserves key properties of the original variety. Recently, there has been increasing interest in the tropicalization of the positive part of algebraic varieties, and more generally, in the…
On January 09th, the Colloquium of the CRC-TRR 358 will take place at the Department of Mathematics, Paderborn. The speaker is Prof. Petra Schwer (Heidelberg).
