Department of

Mathematics

Seminar Calendar
for events the day of Wednesday, September 11, 2013.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, September 11, 2013

11:00 am in 347 Altgeld Hall,Wednesday, September 11, 2013

CR Paneitz Operator and Embeddability of CR Structures

Gabe La Nave (UIUC)

Abstract: Chanillo-Chiu-Yang show that the eigenvalues of Kohn's Laplacian on a 3D CR manifold M are bounded away from zero if the CR Paneitz operator is non-negative and the Webster curvature is positive. This implies that M is embeddable if the CR-Yamabe constant is positive and the CR-Paneitz operator is nonnegative.

3:00 pm in 143 Altgeld Hall,Wednesday, September 11, 2013

Special Functions and Plücker Equations

Maarten Bergvelt (UIUC)

Abstract: The talk will have two parts:

1. Short Introduction to Special Functions
Special functions are functions that satisfy some interesting equation(s). A source of special functions is representation theory (of groups, lie algebras, quantum groups.....). A brief introduction is given.

2. Plücker equations
Inside representations of the Lie algebra $sl_n$ there are elements that satisfy special quadratic equations, the plücker equations. These will be derived using the Clifford algebra of fermionic creation and annihilation operators. (If we let n go to infinity and do bosonization the solutions of plücker equations will be famous special functions, but will not be discussed in this talk.) Both parts are aimed at beginning graduate students.

4:00 pm in 245 Altgeld Hall,Wednesday, September 11, 2013