Graduate Student Homotopy Theory Seminar: Heyi Zhu, "A construction for the \mathbb{C}-motivic topological modular forms spectrum"
Apr 21, 2023 3:00 pm
445 Altgeld Hall
- Sponsor
- Department of Mathematics
- Speaker
- Heyi Zhu
- Contact
- Samuel Hsu
- samuelh6@illinois.edu
- Views
- 56
- Originating Calendar
- General Events - Department of Mathematics
- Title: A construction for the \mathbb{C}-motivic topological modular forms spectrumAbstract: 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.