Mathematics Topology Seminar - Jeremy Hahn

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Date: January 21, 2020
Time: 2:00 p.m. - 3:00 p.m.
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Category: Seminar

Speaker: Jeremy Hahn, MIT

Title: Using the Adams Spectral Sequence to make smooth structures on manifolds

Abstract: I will explain work, joint with Robert Burklund and Andrew Senger, that uses Adams spectral sequence computations at the primes 2 and 3 to produce smooth structures on PL manifolds.  This settles both recent conjectures of Galatius and Randal-Williams as well as questions raised in 1962 by C.T.C. Wall.  Our approach combines the modern theory of Thom spectra with Pstragowski's variant of the Gheorge-Isaksen-Krause-Ricka Gamma_* construction.  I will indicate how further knowledge of the Adams spectral sequence, at both primes 2 and 3, may lead to further results in the classification of highly connected manifolds.


Department of Mathematics