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Graduate Student Homotopy Theory Seminar: Heyi Zhu, "A construction for the \mathbb{C}-motivic topological modular forms spectrum"

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
445 Altgeld Hall
Date
Apr 21, 2023   3:00 pm  
Speaker
Heyi Zhu
Contact
Samuel Hsu
E-Mail
samuelh6@illinois.edu
Views
33
Title: A construction for the \mathbb{C}-motivic topological modular forms spectrum

Abstract: I will talk about the work of Gheorghe, Isaksen, Krause and Ricka where they construct a cellular stable \mathbb{C}-motivic homotopy theory at p=2 without assuming algebro-geometric input via filtered spectra, which comes with a convenient set-up for the \mathbb{C}-motivic Adams-Novikov spectral sequence. In this context, the classical construction for tmf generalizes to a \mathbb{C}-motivic version whose E_2-page is the cohomology of the quotient A//A(2) motivically as expected.
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