Fri, Feb 3
Geometry and Topology Seminar
Morgan Weiler (Cornell University)
ECH cobordism maps and infinite staircases of 4D symplectic embeddings
4:00PM, 122 Mathematics Building
The ellipsoid embedding function of a symplectic manifold measures the amount by which the symplectic form must be scaled in order to fit an ellipsoid of a given eccentricity. It generalizes the Gromov width and ball packing numbers. In 2012 McDuff and Schlenk computed the ellipsoid embedding function of the ball, showing that it exhibits a delicate piecewise linear pattern known as an infinite staircase. Since then, the embedding function of many other symplectic four-manifolds have been studied, and not all have infinite staircases. We classify those symplectic Hirzebruch surfaces whose embedding functions have an infinite staircase. We will emphasize the relationship between the geometric motivation for cobordism maps coming from embedded contact homology (ECH) and McDuff's methods for obstructing ellipsoid embeddings using Taubes' Gromov-Seiberg-Witten invariants of symplectic 4-manifolds. Based on work with Magill and McDuff and work in progress with Magill and Pires.
Mon, Feb 13
Applied Math Seminar
Jiyoung Kang, Pukyong National University
TBA
2:00PM, Zoom - contact mbichuch@buffalo.edu for link
TBA
Fri, Feb 17
Geometry and Topology Seminar
Yvon Verberne (University of Toronto)
Automorphisms of the fine curve graph
4:00PM, 122 Mathematics BuildingThe fine curve graph of a surface was introduced by Bowden, Hensel and Webb. It is defined as the simplicial complex where vertices are essential simple closed curves in the surface and the edges are pairs of disjoint curves. We show that the group of automorphisms of the fine curve graph is isomorphic to the group of homeomorphisms of the surface, which shows that the fine curve graph is a combinatorial tool for studying the group of homeomorphisms of a surface. This work is joint with Adele Long, Dan Margalit, Anna Pham, and Claudia Yao.
Fri, Apr 14
Geometry and Topology Seminar
Nima Hoda (Cornell University)
TBA
4:00PM, 122 Mathematics Building
TBA
Mon, Apr 24
Applied Math Seminar
Boaz Ilan, UC Merced
TBA
2:00PM, Zoom - contact mbichuch@buffalo.edu for link
TBA
Thu, Apr 27
Colloquium
Bena Tshishiku (Brown University)
4:00PM, 250 Mathematics Building
Buffalo Spring Lectures in Geometry and Topology
Fri, Apr 28
Geometry and Topology Seminar
Bena Tshishiku (Brown University)
4:00PM, 122 Mathematics Building
Buffalo Spring Lectures in Geometry and Topology