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Research Seminars: Geometry and Topology


Past Geometry and Topology:

Spring 2018

Time & Location: All talks are on Thursday in Gibson Hall 308 at 12:30 PM unless otherwise noted.
Organizer: Slawomir Kwasik



January 25

Organizational Meeting


Mentor Stafa - Tulane University

Abstract: TBA


February 1

Knot concordance in homology spheres


Jenifer Hom - Georgia Tech

Abstract

The knot concordance group C consists of knots in S^3 modulo knots that bound smooth disks in B^4, with the operation induced by connected sum. We consider various generalizations of the knot concordance group, and compare these to the classical case. This is joint work with Adam Levine and Tye Lidman.



Fri. February 2

Special date and time

Representation stability, homological stability, and commuting matrices.


Daniel Ramras - Institution: Indiana University – Purdue University Indianapolis

Abstract:

Spaces of commuting matrices have received considerable attention in the last 20 years, starting with conjectures of Witten  regarding their connected components. The rational homology of these spaces can be described quite explicitly in terms of classical Weyl group invariants. These descriptions expose a surprising stability pattern, and I'll discuss work in progress (joint with Mentor Stafa) regarding applications of representation stability (in the sense of Church and Farb) to this phenomenon.  No knowledge of representation stability will be assumed.

Location:  Gibson Hall 308

Time:  9:00 AM


February 8

Fixed point indices and 2-complexes


Michael Kelly - Loyola University

Abstract:

Given a self-map of a compact, connected topological space we consider the problem of determining upper and lower bounds for the fixed point indices of the map.  To obtain bounds one needs to restrict attention to the class of spaces considered and also the class of self-maps.  Motivated by an elementary result in the case of a 1-dimensional complex this talk will focus attention to the setting of 2-complexes.  Some past results and related examples will be presented, leading to some current joint work with D. L. Goncalves (U. Sao Paulo, Brasil).


Date

Topic


Speaker - Institution

Abstract: TBA


Date

Topic


Speaker - Institution

Abstract: TBA


Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu