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
Saturday, November 2
- 9:45-10:30, Savery 168: coffee
- 10:30-11:30: Ben Antieau, "Thick subcategories of compact
- 11:30-1:10: lunch
- 1:30-2:30: Dan Dugger, "Motivic stable homotopy groups of
- 2:45-3:45: Robin Koytcheff, "A colored operad for string link
- 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
- 11:00-12:00: Angelica Osorno, "Systems of fixed points and
equivariant homotopy theory"
Here are some places near the University of Washington:
Silver Cloud Inn,
5036 25th Ave NE, Seattle, WA,
4725 25th Ave NE, Seattle, WA,
- 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)
- 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
- map of campus with Savery Hall
indicated; the talks are in Savery.
- Ben Antieau (Washington): "Thick subcategories of compact
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
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
- 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.
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).