Department of

Mathematics


Seminar Calendar
for events the day of Friday, April 1, 2022.

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Friday, April 1, 2022

3:00 pm in 341 Altgeld Hall,Friday, April 1, 2022

Splitting $BP<2> ⋀ BP<2>$ at primes $p \ge 5$

Liz Tatum (UIUC Math)

Abstract: In the 1980s, Mahowald and Kane used Brown-Gitler spectra to construct splittings of $bo ⋀ bo$ and $l ⋀ l$. These splittings helped make it feasible to do computations using the $bo$- and $l$-based Adams spectral sequences. In this talk, we will construct an analogous splitting for $BP<2> ⋀ BP<2>$ at primes $p \ge 5$.

4:00 pm in 347 Altgeld Hall,Friday, April 1, 2022

(Linear) analysis at singularities, infinities, and other things

Gayana Jayasinghe

Abstract: How does one make sense of a singularity which can be described in terms of a degenerate Riemannian metric? How does one study operators on a Riemannian manifold with a specific growth at infinity? How can we put this all together to study all sorts of spaces with degeneracies and growth rates and study (pseudo) differential operators, for instance to prove elliptic regularity? How does one study the wave equation with the Weyl Peterson metric and other such fantasies? I'll try and explain how we do this with geometric microlocal analysis.