Department of

Mathematics


Seminar Calendar
for events the day of Friday, September 24, 2021.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, September 24, 2021

2:00 pm in 347 Altgeld Hall,Friday, September 24, 2021

You won't BELIEVE what Connor has to say about the Atiyah-Singer Index Theorem

Connor Grady (UIUC)

Abstract: In his debut Graduate Analysis Seminar talk, UIUC's very own Connor Grady will be speaking very analytically about one of the COOLEST theorems: The Atiyah-Singer Index Theorem. The Atiyah-Singer Index Theorem is a central theorem in differential geometry, connecting the topology of manifolds to the analysis of differential operators. In this talk, we will be looking at this theorem mostly from the point of view of geometry and topology, while trying to do our best to see why analysts should care about it. (There will be cookies even if you don't care about it.)

4:00 pm in Altgeld Hall 347,Friday, September 24, 2021

A Tour in Symplectic Geometry

Jason Liu (UIUC)

Abstract: Symplectic manifolds are smooth even dimensional manifolds equipped with a special two form. They play an important role in many real-world problems, especially some physics problems. In this talk, Iíll give a tour in symplectic geometry starting from the basic definitions and examples. With basic definitions, we can discuss well-known theorems and some open problems. Some famous results like Gromovís Non-squeezing Theorem and Delzant Theorem will be included. Time permitting, Iíll describe the complexity one problem that Iím currently working on. No prior knowledge about symplectic geometry is required. Iíll try to demonstrate the geometric stories in a more intuitive way, leaving the technical detail aside.