[Binghamton Geometry Topology Seminar] Fwd: (no subject)

Cary Malkiewich malkiewich at math.binghamton.edu
Thu Apr 1 08:23:54 EDT 2021


Hi everyone,

A reminder that Kunle is talking today. Come to the coffee hour too!

Cary


---------- Forwarded message ---------
From: Matthew R Haulmark <haulmark at binghamton.edu>
Date: Tue, Mar 30, 2021 at 8:03 AM
Subject: [Binghamton Geometry Topology Seminar] (no subject)
To: <topsem at math.binghamton.edu>


Hi everyone,

This week our speaker will be our own Kunle Abawonse. This is the first
part of a joint talk with Laura Anderson. Laura's talk will be in the
Combinatorics Seminar.

*Title:* Gelfand and MacPherson's combinatorial formula for Pontrjagin
classes, part I: the topology

*Abstract:  *Let $X$ be a simplicial manifold. A //smoothing// of $X$ is a
smooth manifold M together with a homeomorphism from X to M that is smooth
on each closed simplex. Rohlin and \v{S}varc(1957) and Thom(1958) showed
that all smoothings of X have the same rational Pontrjagin classes. This
raised the hope for a combinatorial formula for these classes. In 1992
Gelfand and MacPheron announced such a formula and gave a very terse proof.
This is the first of two talks. The second will be given by Laura Anderson
in the Combinatorics Seminar (on 4/6). In these two talks we'll explain
their proof. The first part of their proof is an alternative form of
Chern-Weil theory, which will be the topic of Part 1.


Zoom link for the seminar, 2:50 - 3:50:
https://binghamton.zoom.us/j/94057178271

Zoom link for the coffee, 12:30 - 1:30:
https://binghamton.zoom.us/j/96674397432

Best,

Matt
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