Department of

Mathematics


Seminar Calendar
for events the day of Monday, October 9, 2017.

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Monday, October 9, 2017

3:00 pm in 141 Altgeld Hall,Monday, October 9, 2017

Cohomology operations for Landweber exact spectra

William Balderrama   [email] (UIUC)

Abstract: If $E$ is a complex-oriented spectrum, then we can obtain a formal group law on $\pi_\ast E$ from the map $\mathbb{CP}^\infty\times\mathbb{CP}^\infty\rightarrow\mathbb{CP}^\infty$ classifying the tensor product of line bundles. If $E$ is Landweber exact, this formal group law completely controls the structure of stable operations in $E$-cohomology. There are, however, many useful unstable cohomology operations. In this talk, I will try to say something about structures related to these.

4:00 pm in 245 Altgeld Hall,Monday, October 9, 2017

Lie theory beyond Lie groups

Rui Fernandes   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: Symmetries of differential equations, symmetries of geometric structures (e.g., Riemannian metrics, symplectic stuctures, complex structures), symmetries of algebraic equations, etc., are classically described by Lie theory, which is the study of groups equipped with a smooth structure and their actions on manifolds. In recent times we have came to realize that in many situations one needs the more general concept of a Lie groupoid. This lecture will be a gentle introduction to Lie groupoids and some of their applications.