Week of Events
Algebraic Geometry Seminar: Ben Church (Stanford)
Title: Non-unirationality of surfaces and moduli spaces in positive characteristicAbstract: A variety is "unirational" if it admits a dominant rational map from projective space. For moduli spaces this amounts to an explicit “recipe” for writing down a general member of the universal family. In characteristic zero, tensor forms obstruct unirationality -- famously employed by Harris--Mumford (1982) to prove […]
Topology Seminar: Taketo Sano (RIKEN iTHEMS)
Title: A y-ification of Khovanov homologyAbstract: In this talk, I will explain the main results of my recent paper. Motivated by the y-ification of HOMFLY--PT homology by Gorsky and Hogancamp, and the sl_2-action constructed by Gorsky, Hogancamp and Mellit, we construct y-ifications of Khovanov homology and its equivariant versions within Bar-Natan's framework for tangles, and […]
Number Theory Seminar: Eran Assaf (Massachusetts Institute of Techonology)
Title: Tropicalizations of locally symmetric varieties Abstract: We relate the top-weight rational cohomology of a locally symmetric variety to the cohomology of arithmetic groups associated to its rational boundary components. This relation is given in terms of a fundamental spectral sequence, whose applications to the cohomology of Siegel modular varieties and unitary modular varieties will […]
Geometric analysis seminar: Ben Dees
Title: Possible orders of harmonic maps into buildingsAbstract: The goal of this talk is to investigate what possible orders of vanishing can occur for a harmonic map from a Riemann surface into a Euclidean building. Euclidean buildings arise in a number of contexts in mathematics---for example, as a natural space for non-Archimedean groups to act […]