Topology Seminar
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
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Piotr Pstrągowski (Kyoto University)
$\begingroup $In 1999, Mark Mahowald and Charles Rezk introduced a class of spectra which are particularly amenable to understanding using the classical Adams spectral sequence, called fp-spectra. As first described by Rognes, these play a pivotal role in generalizing Quillen-Lichtenbaum conjectures to the setting of ring spectra.
The Quillen-Lichtenbaum conjectures were proven for truncated Brown-Peterson spectra by Dylan Wilson and Jeremy Hahn in 2021, who in this way discovered the first highly non-obvious example of an fp-spectrum in the form of algebraic K-theory. This led them to ask about a general structure result for fp-spectra, and to conjecture that they can all be built out of particularly simple ones.
I will talk about recent joint work with David Lee where we prove a monochromatic analogue of the Hahn-Wilson conjecture, and deduce the original conjecture at height one.
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Søren Galatius (Columbia University)
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Ben Knudsen (Northeastern University)
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Mirai Ikebuchi (Kyoto University)
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Cary Malkiewich (Binghamton University)
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J.D. Quigley (University of Virginia)
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Andy Senger (Harvard University)
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Email Haynes Miller or Keita Allen
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.