Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, December 11, 2018.

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Tuesday, December 11, 2018

11:00 am in 345 Altgeld Hall,Tuesday, December 11, 2018

The Equivariant Spanier-Whitehead dual of the Lubin-Tate spectrum Part 2

Vesna Stojanoska (UIUC)

Abstract: In a series of two talks, I will address the question of determining the K(n)-local Spanier-Whitehead dual of the Lubin-Tate spectrum, equivariantly with respect to the action of the Morava stabilizer group. In the first talk, I will focus on the abstract dualizing module, and introduce the Linearization Conjecture, which makes a more tangible (and linear) guess for what this spectrum should be. In the second talk, I will discuss a proof of the Linearization Conjecture, when restricted to small finite subgroups of the Morava stabilizer. This is work in progress, joint with Beaudry, Goerss, and Hopkins. (Note: the second talk will be independent from the first.)

1:00 pm in 345 Altgeld Hall,Tuesday, December 11, 2018

Pairs of Theories Satisfying a Mordell-Lang Condition

Alexi Block Gorman (UIUC)

Abstract: In this talk I will discuss the expansion of geometric theories by a predicate that satisfies certain properties. Namely, the subset which the predicate defines is the universe of a model for some theory T' that interacts with the theory T of the larger structure in desirable ways. This framework generalizes the work of van den Dries on dense pairs of models of an o-minimal theory, the work of van den Dries and Gunaydin on pairs of the real or complex numbers with multiplicative subgroup satisfying the Mann property, and the work on lovely pairs of geometric structures developed by Berenstein and Vassilev. This talk is based on joint work with Philipp Hieronymi and Elliot Kaplan.