Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, May 29, 2018.

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Tuesday, May 29, 2018

12:00 pm in 243 Altgeld Hall ,Tuesday, May 29, 2018

Fibering of 3-manifolds and related groups

Dawid Kielak (University of Bielefeld )

Abstract: We will take a new look at Thurston's results on the structure of fibrings of 3-manifolds from a more algebraic perspective. This will allow us to generalise these results to (many) Poincare duality groups in dimension 3, and to (all) free-by-cyclic groups.

2:00 pm in 241 Altgeld Hall,Tuesday, May 29, 2018

Wall-crossing phenomena for Newton-Okounkov bodies

Laura Escobar (UIUC)

Abstract: A Newton-Okounkov body is a convex set associated to a projective variety, equipped with a valuation. These bodies generalize the theory of Newton polytopes. Work of Kaveh-Manon gives an explicit link between tropical geometry and Newton-Okounkov bodies. We use this link to describe a wall-crossing phenomenon for Newton-Okounkov bodies. As an application we show how the wall-crossing formula for the tropicalization of Gr(2, n) is an instance of our phenomenon for Newton-Okounkov bodies. Joint work with Megumi Harada.