Department of

Mathematics


Seminar Calendar
for events the day of Friday, March 11, 2016.

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Friday, March 11, 2016

2:00 pm in 445 Altgeld Hall,Friday, March 11, 2016

TBA

Colleen Ackermann (UIUC Math)

4:00 pm in 241 Altgeld Hall,Friday, March 11, 2016

de Rham Cohomology and the Hodge Laplacian

Hadrian Quan (UIUC Math)

Abstract: I will motivate a sequence of topological invariants on a smooth manifold: the de Rham cohomology groups. Starting from ideas in vector calculus, these invariants can be tell us much information while only being defined in terms of integration. Although defined simply, these invariants are comprised of cosets of an infinite dimensional vector space, so one may hope for a simple geometric way of choosing a 'canonical' representative for a coset. On a compact manifold such a choice exists, and in fact is the solution of a certain linear PDE. Time permitting, we will sketch a proof of this fact. Nothing beyond vector calculus and linear algebra will be assumed.

4:00 pm in 345 Altgeld Hall,Friday, March 11, 2016

An analogue of Cobham's theorem for graph directed iterated function systems

William Balderrama (UIUC)

Abstract: We read the paper "An analogue of Cobham's theorem for graph directed iterated function systems" by Charlier, Leroy and Rigo (Advances in Mathematics 280 (2015) 86120). This is the second talk on this topic.