Topology Seminar
Upcoming Talks
The seminar will meet online at 16:30 EDT on Monday.
In accordance with MIT guidelines, the seminar will be meeting on Zoom until further notice. Click here to join the seminar on Zoom. If you do not have Zoom installed, you will be prompted to install it. The Zoom meeting room number is 132540375.
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http://math.mit.edu/topology/topology_seminar.ics

Jonathan Campbell (Center for Communications Research La Jolla)
$\begingroup $In this talk I'll explain how one might attack Hilbert's Generalized Third Problem via homotopy theory, and describe recent progress in this direction. Two ndimensional polytopes, $P$, $Q$ are said to be scissors congruent if one can cut $P$ along a finite number of hyperplanes, and reassemble the pieces into $Q$. The scissors congruence problem, aka Hilbert's Generalized Third Problem, asks: when can we do this? What obstructs this? In two dimensions, two polygons are scissors congruent if and only if they have the same area. In three dimensions, there is volume and another invariant, the Dehn Invariant. In higher dimensions, very little is known — but the problem is known to have deep connections to motives, values of zeta functions, the weight filtration in algebraic Ktheory, and regulator maps. I'll give a leisurely introduction to this very classical problem, and explain some new results obtained via homotopy theoretic techniques. This is all joint with Inna Zakharevich.
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Ben Knudsen (Northeastern University)
$\begingroup $We ask when embedding calculus can distinguish pairs of smooth manifolds that are homeomorphic but not diffeomorphic. We prove that, in dimension 4, the answer is "almost never". In contrast, we exhibit an infinite list of highdimensional exotic spheres detected by embedding calculus. The former result implies that the algebraic topology of knot spaces is insensitive to smooth structure in dimension 4, answering a question of Viro. The latter result gives a partial answer to a question of Francis and hints at the possibility of a new classification of exotic spheres in terms of a stratified obstruction theory applied to compactified configuration spaces. This talk represents joint work with Alexander Kupers.
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Marcy Robertson (University of Melbourne)

Piotr Pstragowski (Harvard University)

Amnon Neeman (Australian National University)

Agnes Beaudry (University of Colorado Boulder)

Martin Speirs (Harvard University)

Jeremy Hahn (MIT)
Email Haynes Miller for inquiries about the seminar.
The mailing list for this seminar is the MIT topology google group.
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In response to the accessibility ruling, we have implemented Kerberos authentication for the recordings of past talks.