Department of

# Mathematics

Seminar Calendar
for Symplectic and Poisson Geometry Seminar events the year of Tuesday, March 13, 2018.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    February 2018            March 2018             April 2018
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3                1  2  3    1  2  3  4  5  6  7
4  5  6  7  8  9 10    4  5  6  7  8  9 10    8  9 10 11 12 13 14
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18 19 20 21 22 23 24   18 19 20 21 22 23 24   22 23 24 25 26 27 28
25 26 27 28            25 26 27 28 29 30 31   29 30



Monday, February 5, 2018

3:00 pm in 243 Altgeld Hall,Monday, February 5, 2018

#### Symplectic groupoids of cluster Poisson structures

###### Songhao Li (University of Notre Dame)

Abstract: Cluster algebras appears as the coordinate ring of many interesting objects. We recall the notion of a cluster ensemble which consists of a cluster A variety and its corresponding cluster X variety. The compatible Poisson structures on these spaces are log-canonical. We construct the symplectic groupoid of the log-canonical Poisson structure on each cluster chart, and lift the cluster mutations to groupoid mutations.

Monday, February 19, 2018

3:00 pm in 243 Altgeld Hall,Monday, February 19, 2018

#### Symplectic groupoids and monoidal Fukaya categories

###### James Pascaleff (UIUC)

Abstract: I will describe how a groupoid structure on a symplectic manifold naturally induces a monoidal structure on its Fukaya category. This provides a unifying perspective on the various known monoidal structures on Fukaya categories. As an application, I will use this framework to address the question of when Lagrangian Floer cohomology rings are commutative.

Monday, March 12, 2018

3:00 pm in 243 Altgeld Hall,Monday, March 12, 2018

#### Morse theory and a stack of broken lines

###### Hiro Tanaka (Harvard)

Abstract: I'll talk about a stack encoding the moduli space of gradient trajectories on a point (which is, I promise, less trivial than it sounds). It turns out that Morse theory on any manifold defines a sheaf on this stack, and that this sheaf in turn allows us to encode Morse theory as a deformation problem. I'll touch on the generalization to Floer theory, too. These constructions conjecturally allow one to construct Floer theory and Morse theory with coefficients in spectra when appropriate obstructions vanish. This is joint work with Jacob Lurie.