Upcoming Talks

The seminar will meet at 4:30 on Monday in 2-131 unless otherwise noted.

Click here to add this seminar to your google calendar. If you use a different calendar program, the ics file for this seminar is here:
http://math.mit.edu/topology/topology_seminar.ics

• • Apr 222024

  Tasos Moulinos (Institute for Advanced Study)

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  Towards an analogue of the filtered circle over the sphere

  I will begin by describing past work with Robalo and Toen on the filtered circle. This is an abelian group stack whose category of representations corresponds to filtered complexes with a compatible S^1 action. By mapping this object into schemes, one recovers the HKR filtration on Hochschild homology. I will then describe some first steps toward lifting this construction to the setting of spectral algebraic geometry over the sphere spectrum, using the theory of synthetic spectra and the even filtration of Hahn-Raksit-Wilson.

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• • Apr 292024

  Toni Annala (Institute for Advanced Study)

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  Atiyah duality and applications

  In topology, Atiyah duality provides a geometric model for the dual of the suspension spectrum of a smooth manifold. In this talk, we export this into algebraic geometry by proving an analogous claim in the non-$A^1$-invariant stable motivic homotopy theory of Annala-Hoyois-Iwasa. Besides recovering many Poincare duality type results, it has other surprising consequences. I will explain how to use the so-called $A^1$-colocalization functor to prove the independence of logarithmic cohomology theories from the choice of good compactification (without assuming resolution of singularities).

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• • May 132024

  Ishan Levy (MIT)

  TBA

Email Ishan Levy or Haynes Miller for inquiries about the seminar.

The mailing list for this seminar is the MIT topology google group.
Email Mike Hopkins if you want to join the list.