Department of

# Mathematics

Seminar Calendar
for events the day of Friday, February 26, 2021.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2021          February 2021            March 2021
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1  2       1  2  3  4  5  6       1  2  3  4  5  6
3  4  5  6  7  8  9    7  8  9 10 11 12 13    7  8  9 10 11 12 13
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Friday, February 26, 2021

2:00 pm in Contact for zoom link,Friday, February 26, 2021

#### Minimizing Eigenvalues of the Laplacian

###### Scott Harman (UIUC Math)

Abstract: pectral theory is concerned with studying the eigenvalues of partial differential operators. The most canonical example is the second order Laplacian . In this talk, we are concerned mostly with minimizing eigenvalues of the Laplacian on a bounded domain with and has zero boundary condition. To phrase it another way, what shape of domain will yield the smallest frequencies? We will give a brief overview of spectral theory, a proof of the Faber-Krahn inequality which states the ball minimizes the first eigenvalue, and conjectures for higher eigenvalues and the shape of the domain in the limiting case.

4:00 pm in Zoom,Friday, February 26, 2021

#### A Length and an Area Walk Into a Bar Complex

###### Cameron Rudd (UIUC)

Abstract: I will discuss some occurrences of lengths and area in geometry. Please contact basilio3 (at) illinois (dot) edu for Zoom information.