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Applications of smoothing theory to 4-manifolds (Mark Powell)

Abstract

Smoothing theory translates the question of how many smooth or PL structures a high-dimensional manifold admits into algebraic topology.  While it does not apply verbatim in dimension four, the high dimensional theory makes partial predictions about smoothings of 4-manifolds. I will discuss the extent to which they come true, and some of the resulting exotic phenomena. Based on joint work with Daher, Kasprowski, Nagy, Orson, and Randal-Williams.

To see the schedule of the RTG Day in Karlsruhe, go to:

https://www.groups-and-spaces.kit.edu/115_845.php

Date : Tue, Apr 29

Time: 11:45

Place: SR. 1.067 KIT