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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Natalia Pacheco-Tallaj (MIT)
$\begingroup $In this defense, I will first give a brief overview of anomalies in quantum field theories and how they are studied with techniques from algebraic topology via the Dai-Freed formalism. I will then describe joint work with I. Basile, C. Krulewski, and G. Leone motivated by anomaly cancellation problems in 6d supergravity. I will show how we leverage the unstable classification of vector bundles over $\mathbb{CP}^2$ to construct explicit generators for seven-dimensional twisted string bordism groups. Finally, I will outline the construction of a complete family of invariants detecting the torsion order of these generators, which can be seen as twisted analogs of the Adams e-invariant, and exhibit an example computation.
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Christian Kremer (MPIM)
$\begingroup $The classical Nielsen Realisation Problem asks whether a finite subgroup of the mapping class group of a surface can be realised by an actual group action on the surface. It was answered affirmatively by Kerckhoff. In my talk, I will present a generalisation of this problem to high-dimensional aspherical manifolds, and discuss results for group actions of cyclic groups of prime order, based on the newly developed technique of equivariant and isovariant Poincare duality.
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Sadok Kallel (American University of Sharjah)
$\begingroup $We construct a Grothendieck ring for poset-stratified spaces $K_0(\mathcal{Q})$ and use it to compute the topological Euler characteristic of a number of constructions in topology and geometry. This ring is defined on a suitable essentially small subcategory $\mathcal{Q}$ of Top and offers a flexible real analog of the Grothendieck ring of varieties in algebraic geometry. A number of applications are given to orbifolds and to spaces stratified by configuration spaces, like chromatic configuration spaces, bounded multiplicity configurations or finite subset spaces.
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Email Jeremy Hahn
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.