Department of

# Mathematics

Seminar Calendar
for events the day of Monday, March 2, 2020.

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events for the
events containing

More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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1    1  2  3  4  5  6  7             1  2  3  4
2  3  4  5  6  7  8    8  9 10 11 12 13 14    5  6  7  8  9 10 11
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Monday, March 2, 2020

9:00 am in Altgeld Hall,Monday, March 2, 2020

#### Math Graduate Open House

Abstract: Visiting Day for students admitted to the Math PhD program and currently living in North America.

3:00 pm in 441 Altgeld Hall,Monday, March 2, 2020

#### Relations between Spectral Sequences

###### Liz Tatum (Illinois Math)

Abstract: Consider a ring spectrum E and a spectrum X. The E-based Adams Spectral Sequence is a tool for approximating the homotopy groups $\pi_{*}X$. Depending on the choice of ring spectrum E, the Adams spectral sequence might be easier to compute, but might give a weaker approximation to $\pi_{*}X$. One could ask “If A, B are two different ring spectra, what can an A-based Adams spectral sequence tells us about a B-based Adams spectral sequence”? In the paper “On Relations Between Adams Spectral Sequences, With an Application to the Stable Homotopy of a Moore Space”, Miller proves a theorem addressing this question. In this talk, I’ll introduce some of the tools Miller uses to formulate and prove this theorem, and outline the previously mentioned application.

3:00 pm in 243 Altgeld Hall,Monday, March 2, 2020

#### Analytic torsions associated with the Rumin complex on contact spheres

###### Akira Kitaoka (University of Tokyo)

Abstract: The Rumin complex, which is defined on contact manifolds, is a resolution of the constant sheaf of $\mathbb{R}$ given by a subquotient of the de Rham complex. In this talk, we explicitly write down all eigenvalues of the Rumin Laplacian on the standard contact spheres, and express the analytic torsion functions associated with the Rumin complex in terms of the Riemann zeta function. In particular, we find that the functions vanish at the origin and determine the analytic torsions.

4:00 pm in 245 Altgeld Hall,Monday, March 2, 2020