Department of

# Mathematics

Seminar Calendar
for events the day of Monday, December 10, 2018.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, December 10, 2018

3:00 pm in 243 Altgeld Hall,Monday, December 10, 2018

#### Non-linear Maslov index on lens spaces

###### Yael Karshon (Toronto)

Abstract: Let L be a lens space with its standard contact structure. We construct a "non-linear Maslov index", which associates an integer to any contact isotopy of L starting at the identity, and that has certain properties that allows us to use it to prove rigidity properties of L as a contact manifold. This is joint work with Gustavo Granja, Milena Pabiniak, and Sheila (Margherita) Sandon, and it follows earlier work of Givental and Theret that applied to real and complex projective spaces.

4:00 pm in 245 Altgeld Hall,Monday, December 10, 2018

#### Continuous families of vector spaces

###### Jeremiah Heller   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: The notion of a continuous family of vector spaces, aka a vector bundle, is an ubiquitous one in topology, geometry, and algebra. For example, given a manifold, the collection of tangent vectors at the points of the manifold assemble into such an object: the tangent bundle. Focusing on this example, I'll talk about the role homotopy theory plays in understanding vector bundles and the geometric structures they reflect. As an added bonus, we'll solve the ancient riddle, "What is the difference between a coconut and the CERN particle accelerator?".

5:00 pm in 241 Altgeld Hall,Monday, December 10, 2018

#### Witten's paper on entanglement

###### Marius Junge, and Nick LaRacuente (UIUC)

Abstract: We discuss section 4 in Witten's paper proving monotonicity of relative entanglement under inclusions.