Department of

Mathematics


Seminar Calendar
for events the day of Monday, September 11, 2017.

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Monday, September 11, 2017

3:00 pm in 243 AH,Monday, September 11, 2017

Relative Floer theory and wall-crossing

James Pascaleff (UIUC)

Abstract: Given a monotone Lagrangian L in a monotone symplectic manifold, there is a function known as the disc potential that encodes counts of maslov index 2 discs with boundary on L. The behavior of this potential under certain geometric transformations of the Lagrangian (mutations) is governed by what is known as a "wall-crossing formula." In this talk I will present a new, simple argument that allows one to prove such formulas in a general setting. The main new ingredient is a reformulation of the problem in terms of relative Floer theory. This is joint work with Dmitry Tonkonog.

3:00 pm in 141 Altgeld Hall,Monday, September 11, 2017

What is tmf

Ningchuan Zhang   [email] (UIUC)

Abstract: In short, Topological Modular Forms (tmf) is a “universal elliptic cohomology theory”. More precisely, it is the global section of a sheaf of $E_\infty$-ring spectra over the moduli stack of (generalized) elliptic curves. In this talk, I’ll introduce tmf and sketch the construction of it (or really this sheaf of $E_\infty$ ring spectra). If time allows, I’ll also explain its relationship to classical modular forms.

4:00 pm in 245 Altgeld Hall,Monday, September 11, 2017

To Be Announced

Alexandru Zaharescu   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)