Department of

# Mathematics

Seminar Calendar
for events the day of Monday, April 29, 2019.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      March 2019             April 2019              May 2019
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1  2       1  2  3  4  5  6             1  2  3  4
3  4  5  6  7  8  9    7  8  9 10 11 12 13    5  6  7  8  9 10 11
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Monday, April 29, 2019

3:00 pm in 343 Altgeld Hall,Monday, April 29, 2019

#### Crystalline period map

###### Venkata Sai Bavisetty (UIUC Math)

Abstract: In Chromatic homotopy theory, one tries to understand the homotopy groups of spheres using the height filtration on formal group laws. This way at each height we get a spectral sequence whose $E_2$ term is the group cohomology of the Morava stabilizer group with coefficients in the Lubin-Tate ring. In this talk, I hope to explain a conceptual way to figure out the action of the Morava Stabilizer group on the Lubin-Tate ring.

3:00 pm in 243 Altgeld Hall,Monday, April 29, 2019

#### Symplectic capacities and the Minkowski sums of ellipsoids

###### Ely Kerman (UIUC)

Abstract: I will describe a new and elementary analysis of the Reeb flow on the boundary of the Minkowski sum of symplectic ellipsoids. This is made possible by an elegant parameterization of this boundary due to Chirikjian and Yan. Two immediate applications include an interesting manifestation of the "two to infinitely many" theorem of Hofer-Wysocki-Zehnder for closed Reeb orbits on strictly convex hyper surfaces, and a quick proof of the fact that the higher Ekeland-Hofer capacities, unlike the first one, fail to satisfy a Brun-Minkowski type inequality. This is a report on joint work in progress with Yuanpu Liang.

5:00 pm in 241 Altgeld Hall,Monday, April 29, 2019

#### Khalkali's notion of Ricci curvature in rotation algebras

###### Marius Junge (UIUC)

Abstract: As promised, we finish our exploration on Ricci curvature in operator algebras today. We may start 5minutes late.