Schedule

9:00-10:00 9:00 Coffee and snacks in Rawles Hall Lounge
10:00-11:00 10:00 Allen Yuan (IAS), Equivariant complex cobordism and prismatization
11:00-11:30 11:00 Coffee in Rawles Hall Lounge
11:30-12:30 11:30 Lucy Yang (Columbia), A real Hochschild–Kostant–Rosenberg theorem
12:30-2:30 12:30 Lunch at Local Restaurants
2:30-3:30 2:30 Matt Stoffregen (Michigan State), The homology cobordism group and Seifert spaces
3:30-4:00 3:30 Coffee and cookies in Rawles Hall Lounge
4:00-5:00 4:00 Kate Ponto (Kentucky), Iterated traces
5:15- 5:15 Party in Rawles Hall Lounge

Talks will be in Rawles Hall 100 and breaks will be in Rawles Hall 107 (map)

Time Zone

Bloomington, Indiana, is in the Eastern time zone and observes daylight saving time. See timeanddate.com to compare with your local time.

Dietary Restriction Information

  • Morning. The bagels from Gables Bagels have only vegan ingredients but were made in a location that also makes non-vegan food.
  • Afternoon. The cookies marked plant based have only vegan ingredients but were made in a kitchen that also makes non-vegan food. The brownies marked no grain, legumes, or leavening have only kosher for Passover ingredients but were made in a kitchen not cleansed for Passover. (The unmarked cookies are neither vegan nor kosher for Passover.)
  • Evening. The food from Taste of India, except for the Tandoori chicken, has only vegan ingredients but was made in a location that also makes non-vegan food. The chicken is halal.

Nearby Restaurants

Our colleagues running the Bloomington Geometry Workshop have curated a (biased) list of local restaurants: BGW Restaurant Recommendations.

Abstracts

A real Hochschild–Kostant–Rosenberg theorem
Lucy Yang, Columbia University

Grothendieck–Witt and real K-theory are enhancements of K-theory in the presence of duality data. Similarly to ordinary K-theory, real K-theory admits homological approximations, known as real trace theories. We will see how C2-genuine equivariant algebra is the natural setting for these theories and introduce enhancements of the cotangent and de Rham complexes to this involutive setting. We will identify a filtration on real Hochschild homology and compute the associated graded in terms of the involutive de Rham complex. This work is both inspired by and builds on that of Raksit.

The homology cobordism group and Seifert spaces
Matt Stoffregen, Michigan State University

We give a survey of some of the history of the homology cobordism group of integer homology three-spheres. We'll then look at involutive Heegaard Floer homology, and its use in studying the homology cobordism group. As particular applications, we show that involutive Heegaard Floer theory determines an infinite rank summand of the homology cobordism group, and also that most elements in homology cobordism are very far from having a representing three-manifold with Seifert geometry. This is joint work with Irving Dai, Kristen Hendricks, Jen Hom, Linh Truong, and Ian Zemke.