Topology Seminar
Upcoming Talks
The seminar will meet at 4:30 on Monday in 2131 unless otherwise noted.
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If you use a different calendar program, the ics file for this seminar is here:
http://math.mit.edu/topology/topology_seminar.ics

Aaron Landesman (Harvard/MIT)
$\begingroup $We describe a new homological stability result for a generalized version of Hurwitz spaces. This builds on previous work of EllenbergVenkateshWesterland, showing that homology groups of certain Hurwitz spaces stabilize. We generalize this in two directions. First, we work with covers of arbitrary punctured Riemann surfaces instead of just the disc. Second, we generalize the result to 'coefficient systems,' which are essentially a sequence of compatible local systems on configurations spaces. After detailing the above homological stability result, we will then explain how both these generalizations are employed to prove versions of numerous conjectures from number theory relating to the distributions of ranks of elliptic curves and Selmer groups of elliptic curves.
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Gabriel AngeliniKnoll (Sorbonne Paris Nord)
$\begingroup $Work of HahnRaksitWilson extended the BhattMorrowScholze filtration on topological cyclic homology and topological periodic cyclic homology to sufficiently nice ring spectra. This allows one to define syntomic cohomology and prismatic cohomology at this level of generality. One example of such a nice ring spectrum is real topological Ktheory. In joint work with Christian Ausoni and John Rognes, we compute the syntomic cohomology of real topological Ktheory modulo $(2,\eta,v_1)$. This computation produces a new example of pure redshift and arithmetic duality. As an application, we compute the algebraic Ktheory of real topological Ktheory modulo $(2,\eta,v_1)$ and show that it satisfies a higher chromatic complexity version of the LichtenbaumQuillen conjecture.
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Stephen McKean (Harvard University)

Andrew Senger (Harvard University)

Ishan Levy (MIT)
Email Ishan Levy or Haynes Miller for inquiries about the seminar.
The mailing list for this seminar is the MIT topology google group.
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