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Elliptic curves and chromatic homotopy theory

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Speaker: 
Irina Bobkova
Affiliation: 
Texas A&M University/z.Z. MPIM
Date: 
Thu, 2021-07-29 15:00 - 16:00
Parent event: 
MPI-Oberseminar

https://zoom.us/j/93172910947
Meeting ID: 931 7291 0947
For passcode of this talk please contact Tobias Barthel (tbarthel@mpim-bonn.mpg.de)

Computation of the stable homotopy groups of spheres is a long-standing open problem in algebraic topology, which has deep connections to number theory and derived algebraic geometry. I will introduce chromatic homotopy theory and explain how it splits this problem into simpler building blocks, which can be understood using the theory of formal group laws and their deformations. Then I will talk about recent results and work in progress at the second chromatic level. In particular, I will talk about a self-dual decomposition of the second chromatic sphere, where the decomposition pieces are constructed using the topological modular forms. This talk is based on joint work with M. Behrens, D. Culver and P. VanKoughnett.

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