Department of

Mathematics


Seminar Calendar
for events the day of Monday, March 16, 2015.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, March 16, 2015

12:00 pm in 341 AH,Monday, March 16, 2015

Poisson geometry around transversals

Ioan Marcut (UIUC Math / Radboud University Nijmegen)

Abstract: The role of Poisson transversals in Poisson geometry is analogous to the one played by symplectic submanifolds in symplectic geometry, and by transverse submanifolds in foliation theory. They are defined as submanifolds that intersect the symplectic leaves transversally and symplectically. In this talk I will explain how the entire "local Poisson geometry" around a Poisson transversal is encoded by that of the Poisson transversal. This is joint work with Pedro Frejlich.

3:00 pm in 343 Altgeld Hall,Monday, March 16, 2015

The classification of Taylor towers

Michael Ching (Amherst)

Abstract: This talk will start with a review of Goodwillie calculus and the Taylor tower, and then consider the question of the universal structure that exists on the derivatives of a homotopy functor between given categories. The first step is to describe the operad structure on the derivatives of the identity, and how this operad acts on the derivatives of another functor. Underlying this step is the "chain rule" for Goodwillie derivatives. The second step is to introduce a comonad that describes further structure on the derivatives. This is an example of homotopic descent. I will focus on the examples of functors between the categories of based spaces and spectra, but will try to indicate how the general method could be applied to other categories. This is joint work with Greg Arone.

4:00 pm in 145 Altgeld Hall,Monday, March 16, 2015

Hyper-kähler manifolds

Itziar Ochoa de Alaiza Gracia (UIUC Math)

Abstract: We will discuss Kähler and hyper-Kähler manifolds. While Kähler structures are easy to construct, that is not the case for hyper-Kähler structures. We will see one route to constructing hyper-Kähler metrics, namely hyper-Kähler quotients. To illustrate we will mention hypertoric varieties.

5:00 pm in 241 Altgeld Hall,Monday, March 16, 2015

More on more C*-norms

Marius Junge (UIUC)

Abstract: This is a report on joint work with Jian Liang