The 5th meeting of the IU/PU/IUPUI Joint Topology Seminar will be held at IUPUI in Indianapolis, Indiana on Saturday April 16, 2016. Talks will held in room LD 026, beginning at 10am and ending at 12:30pm, followed by lunch.
| Jeremy Miller, Purdue University: On the FI-homology of configuration spaces |
| Cary Malkiewich, University of Illinois at Urbana-Champaign: A tale of two transfers |
11:30am: Cary Malkiewich
Jeremy Miller, Purdue University: On the FI-homology of configuration spaces
Abstract: In the 1970s, McDuff proved that configuration spaces of
distinct unordered particles in an open manifold exhibit
homological stability. Although the homology groups of ordered
configuration spaces do not stabilize, Church showed that the
homology does stabilize in a representation theoretic sense. After
recalling the definition of representation stability, FI-modules
and FI-homology, I will describe new patterns in the “unstable”
homology of ordered configuration spaces. These patterns are an
analogue of patterns discovered by Galatius in the homology of
symmetric groups. This is joint work in progress with Jennifer
Wilson.
Cary Malkiewich, University of Illinois at
Urbana-Champaign: A tale of two transfers
Abstract: The Becker-Gottlieb transfer constructs for each fibration E -> B with finite CW fibers a stable map B -> E. In joint work with John Lind, we study a similar transfer defined on the free loop spaces LB -> LE, which is closely connected to Waldhausen A-theory. We give a geometric characterization for smooth fiber bundles, and use it to compute the transfer for the Hopf fibration S^3 -> S^2, where it is nonzero. We also prove that this free loop transfer restricts to the Becker-Gottlieb transfer on the constant loops, extending a result of Dorabiala and Johnson.
Talks will be held in the basement of the LD building, room
LD026, on the IUPUI campus in downtown Indianapolis.
IU permits are valid in certain IUPUI surface lots. Detailed information is available here. There are two lots in front of the LD/SL building. Those with an IU A or C permit can park in either lot, and those with an IU E permit can park in the southern lot. Purdue permits are also honored at IUPUI. If you will need a parking pass, please email Dan Ramras (dramras at iupui.edu).
Dan Ramras (dramras at iupui dot edu)
Mike Mandell (mmandell at indiana dot edu)
David Gepner (dgepner at purdue dot edu)
Please contact us with questions.
Past meetings: