General info

This autumn's Cascade Topology Seminar will be November 2-3 at the University of Washington in Seattle. Schedule (coffee in Savery 168, talks in Savery 166):

Saturday, November 2

  • 9:45-10:30, Savery 168: coffee
  • 10:30-11:30: Ben Antieau, "Thick subcategories of compact R-module spectra"
  • 11:30-1:10: lunch
  • 1:30-2:30: Dan Dugger, "Motivic stable homotopy groups of spheres"
  • 2:45-3:45: Robin Koytcheff, "A colored operad for string link infection"
  • 3:45-4:15: coffee
  • 4:15-5:15: Tyler Lawson, "Tate constructions and the squaring map on Hochschild homology"
  • 6:00: dinner

Sunday, November 3

  • 9:15-9:45: coffee
  • 9:45-10:45: Man Chuen Cheng, "Poincare duality for orbifolds in Morava K-theory"
  • 11:00-12:00: Angelica Osorno, "Systems of fixed points and equivariant homotopy theory"

Lodging info

Here are some places near the University of Washington:

  • Silver Cloud Inn, 5036 25th Ave NE, Seattle, WA, (206) 526-5200
  • Travelodge, 4725 25th Ave NE, Seattle, WA, (206) 525-4612
  • other hotels, motels, etc. (provided by Google maps; you can also use your favorite on-line resource and look for lodging near 4500 15th Ave NE, Seattle, WA)

Maps, directions

  • University of Washington info for visitors
  • map of campus, along with links to driving directions and parking information. It costs $5 to park on campus on Saturday morning, and it is free to park Saturday afternoon and all day Sunday. (Oh, except that it seems to cost $10 to park in the the "Central Plaza Parking Garage", which happens to be the lot closest to Savery Hall, where the talks are.)
  • map of campus with Savery Hall indicated; the talks are in Savery.

Abstracts

Ben Antieau (Washington): "Thick subcategories of compact R-module spectra"
Abstract: I will discuss recent work with David Gepner and Tobias Barthel on the problem of classifying the thick subcategories of the triangulated category of compact R-module spectra when R is an E-infinity ring spectrum. For ring spectra flat over an algebraic localization of the sphere spectrum, I will explain how to completely classify these subcategories by using a generalized form of the work of Devinatz-Hopkins-Smith.
Man Chuen Cheng (UBC): "Poincare duality for orbifolds in Morava K-theory"
Abstract: It was showed by Greenlees and Sadofsky that the classifying spaces of finite groups are self-dual with respect to Morava K-theory K(n). Their duality map was constructed using a transfer map. I will describe the map and its generalization which would induce a K(n)-version of Poincare duality for classifying spaces of orbifolds. Some examples of K(n)-fundamental class and intersection product will be given. If time permits, I will explain the similarity of this duality map with that of the Spanier-Whitehead duality for manifolds from the point of view of differentiable stacks.
Dan Dugger (Oregon): "Motivic stable homotopy groups of spheres"
Abstract: I will give an update on ongoing joint work with Dan Isaksen aimed at getting a better understanding of the groups in the title. I plan to focus on how these groups related to Z/2-equivariant stable homotopy groups, and on some conjectures about what happens over Spec of the integers
Robin Koytcheff (Victoria): "A colored operad for string link infection"
Abstract: Budney recently constructed an operad which encodes splicing of knots and proved a theorem decomposing the space of (long) knots over this operad. Infection of knots (or links) by string links is a generalization of splicing from knots to links and is useful for studying concordance of knots. In joint work with John Burke, we have constructed a colored operad that encodes this infection operation. This operad captures all the relations in the 2-string link monoid. We can also show that a certain subspace of 2-string links is freely generated over a suboperad of our infection colored operad by its subspace of prime links.
Tyler Lawson (Minnesota): "Tate constructions and the squaring map on Hochschild homology"
Angelica Osorno (Reed): "Systems of fixed points and equivariant homotopy theory"
Abstract: I will describe the classical result of how to recover the homotopy theory of a G-space from the homotopy theory of its system of fixed points, and then I will describe the analogous recent result of Guillou and May for genuine equivariant G-spectra, I will then show how to use this result to construct a new equivariant infinite loop space machine, whose input data is in terms of fixed points. This is joint work with Anna Marie Bohmann.

Travel support

The Cascade Topology Seminar is supported in part by grants from the National Science Foundation and the Pacific Institute for the Mathematical Sciences, as well as funds from the University of Washington. It is a Mathematical Sciences Research Institute MER Network Conference. The support of these agencies is gratefully acknowledged. The Seminar has dedicated funding available to support the participation of graduate students, early career mathematicians, and members of traditionally underrepresented groups. Members of these aforementioned groups are especially encouraged to apply and attend. For members of these groups, we try hard to fund lodging, but rarely travel, and never per diem.

If you would like to apply for travel funding (i.e., lodging), please send me email (or talk to me at the conference).