Topology Seminar
Upcoming Talks
The seminar will meet at 4:30 on Monday in 2131 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

Hana Jia Kong (Harvard University)
$\begingroup $The real motivic stable homotopy category has a close connection to the $C_2$equivariant stable homotopy category. From a computational perspective, the real motivic computation can be viewed as a simpler version which "removes the negative cone" in the $C_2$equivariant stable homotopy groups. On the other hand, by work of Burklund–Hahn–Senger, one can build the completed Artin–Tate real motivic category from the completed $C_2$equivariant category using the deformation construction associated to the $C_2$effective filtration.
In work with Gabriel AngeliniKnoll, Mark Behrens, and Eva Belmont, we try to build an analog of this deformation story for a general finite group $G$. We give a new interpretation of the $C_2$effective filtration in the Borel equivariant category which generalizes for $G$. Using this new interpretation, the deformation construction gives a deformation of the Borel equivariant stable homotopy category for general finite groups.
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Dan BerwickEvans (University of Illinois UrbanaChampaign)
$\begingroup $Since the mid 1980s, there have been hints of a deep connection between 2dimensional field theories and elliptic cohomology. This lead to Stolz and Teichner's conjectured geometric model for the universal elliptic cohomology theory of topological modular forms (TMF) in which cocycles are 2dimensional supersymmetric field theories. Basic properties of these field theories lead to expected integrality and modularity properties, but the abundant torsion in TMF has always been mysterious. In this talk, I will describe deformation invariants of 2dimensional field theories that realize some of the torsion in TMF.
$\endgroup$ 
Thomas Brazelton (Harvard University)

Kathryn Lesh (Union College)

Tomer Schlank (Hebrew University)

Jared Weinstein (Boston University)

Craig Westerland (University of Minnesota)
The seminar will meet at 3:00 PM in Harvard Science Center SC507 at Arithmetic Statistics seminar.

Akhil Mathew (University of Chicago)
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.