Geometry and Topology Seminar
Geometry and Topology Seminar: April 4, 2025
Mar. 31, 2025—Speaker: Hannah Housden (Vanderbilt University) Title: TBA Abstract: TBA
Geometry and Topology Seminar: February 28, 2025
Feb. 28, 2025—Speaker: Zhonghui Sun (Michigan State University) Title: Equivariant Bicategorical Shadows and Traces Abstract: Bicategorical shadows, defined by Ponto, provide a framework that generalizes (topological) Hochschild homology. Bicategorical shadows have important properties, such as Morita invariance, and allow one to generalize the symmetric monoidal trace to a bicategorical trace. Topological Hochschild homology (THH), an essential component of the trace methods...
Geometry and Topology Seminar: November 8, 2024
Nov. 8, 2024—Speaker: Valentina Zapata Castro (University of Virginia) Title: A monoid can be interpreted as a category with a single object, where the morphisms correspond to the elements of the monoid. Extending this concept to higher categories, in this talk I will explore the relationship between complete Segal spaces with a monoidal structure and complete Segal Theta_2-spaces, considering an approach...
Geometry and Topology Seminar: October 25, 2024
Oct. 25, 2024—Speaker: Yifan Chen (UC Berkeley) Title: More Complete Calabi-Yau Metrics of Calabi Type Abstract: We construct more complete Calabi-Yau metrics asymptotic to Calabi ansatz. They are the higher-dimensional analogues of ALH* gravitational instantons in two dimensions. Our work builds on and generalizes the results of Tian-Yau and Hein-Sun-Viaclovski-Zhang, creating Calabi-Yau metrics that are only polynomially close to the model...
Geometry and Topology Seminar: October 4, 2024
Oct. 7, 2024—Speaker: Sofia Martinez Alberga (Purdue University) Title: Modeling Equivariant Simplicial Sets with Simplicial Coalgebras Abstract: Given a commutative ring R, a $\pi_1$-R-equivalence is a continuous map of spaces inducing an isomorphism on fundamental groups and an R-homology equivalence between universal covers. When R is an algebraically closed field, Raptis and Rivera described a full and faithful model for the homotopy...
Geometry and Topology Seminar: Friday, September 27th
Sep. 27, 2024—Speaker: Garrett Michael Brown (UC Berkeley) Title: The sign of scalar curvature on Kaehler blowups Abstract: In Kaehler geometry there is a compelling interaction between the curvature of the metric and the underlying algebro-geometric structure. One example is that positivity of the scalar curvature forces the the Kodaira dimension to be negative. I will explain a recent resolution to the...