Midwest Topology Seminar

Wayne State University
State Hall 134
Saturday 11 November 2017

The Fall 2017 meeting of the Midwest Topology Seminar will be held at Wayne State University in Detroit, Michigan on Saturday 11 November.  All talks will be in State Hall 134, near the corner of Cass Ave and Putnam St. 

Four speakers will give 1-hour talks:

  • Gabe Angelini-Knoll, Michigan State University
  • Cary Malkiewich, Binghamton University
  • Stephan Stolz, University of Notre Dame
  • Liz Vidaurre, University of Rochester

Registration

Please register in advance.  This will help us plan a successful meeting.

Funding

We anticipate that limited travel support is available through an NSF grant.  Priority will be given to graduate students, postdoctoral researchers, and others with limited sources of travel support.  Women and members of historically underrepresented groups are especially encouraged to apply.  Please request funding through the registration page by Friday October 27.

Schedule

9:00am Coffee and light breakfast
10:00am Gabe Angelini-Knoll
11:00am Coffee break
11:30am Liz Vidaurre
12:30pm Lunch break
2:30pm Stephan Stolz
3:30pm Coffee break
4:00pm Cary Malkiewich

In the interest of reducing unnecessary waste, participants are encouraged to bring their own reusable mugs.

Abstracts

Speaker: Gabe Angelini-Knoll, Michigan State University
Title: Evidence for the Greek letter family red-shift conjecture

Abstract: In the spirit of the red-shift conjecture of Ausoni-Rognes, we conjecture that algebraic K-theory of a spectrum that detects the n-th Greek letter family will detect the n+1-st Greek letter family. As an example consider the p-complete algebraic K-theory of a finite field, whose order, q, is a topological generator for the p-adic units. Due to work of Adams and Quillen, this spectrum detects the alpha family, meaning that the alpha family in the homotopy groups of spheres maps nontrivially to the homotopy groups of the p-complete algebraic K-theory of a finite field. In my talk, I will describe how to compute enough information to show that iterated algebraic K-theory of finite fields of order q detects the beta family, suitably interpreted, giving the first known evidence for the Greek letter family red-shift conjecture. This computation involves approximating algebraic K-theory by topological Hochschild homology and its circle homotopy fixed points using a technique called "trace methods."

Speaker: Liz Vidaurre, University of Rochester
Title: Cohomology of Real Moment-Angle Complexes

Abstract: Certain subspaces of a product of spaces whose factors are labeled by the vertices of a simplicial complex are referred to as "polyhedral product spaces".  Polyhedral products are given by taking the union of subproducts depending on the face category of a fixed simplicial complex on m vertices and a labelled family of m topological pairs. Such polyhedral products are realized by objects studied in combinatorics, commutative algebra and algebraic geometry.  Real moment-angle complexes, where the pairs are intervals and their boundaries, play a key role. We will study how the cohomology ring of real moment-angle complexes can be given in terms of the underlying simplicial complex.

Speaker: Stephan Stolz, University of Notre Dame
Title: From factorization algebras to functorial field theories

Abstract: There are various, quite different mathematical approaches to quantum field theories, among them functorial field theories in the sense of Atiyah and Segal and the factorization algebras of quantum observables of Costello and Gwilliam.  In the talk I will describe a construction that produces a twisted functorial field theory from a factorization algebra, thus relating these two approaches.  This is joint work with Bill Dwyer and Peter Teichner.

Speaker: Cary Malkiewich, Binghamton University
Title: Periodic orbits and topological restriction homology

Abstract: I will talk about a project to import trace methods, usually reserved for algebraic K-theory computations, into the study of periodic orbits of continuous dynamical systems (and vice-versa). Our main result so far is that a certain fixed-point invariant built using equivariant spectra can be "unwound'' into a more classical invariant that detects periodic orbits. As a simple consequence, periodic-point problems (i.e. finding a homotopy of a continuous map that removes its n-periodic orbits) can be reduced to equivariant fixed-point problems.  This answers a conjecture of Klein and Williams, and allows us to interpret their invariant as a class in topological restriction homology (TR), coinciding with a class defined earlier in the thesis of Iwashita and separately by Luck. This is joint work with Kate Ponto.

Lodging

We have reserved blocks of rooms at the Inn on Ferry Street and at the Hilton Garden Inn in downtown Detroit.  Instructions on reserving block rooms is coming soon.

  • Inn on Ferry Street: Remodeled mansions.  Breakfast included.  Within easy walking distance of the Wayne State campus. 
    Email reservations@innonferrystreet.com or call 313-871-6000 to reserve a room by October 6.  Refer to "WSU Mathematics" when reserving.  $149/night.
  • Hilton Garden Inn: Accessible to Wayne State by the Q line streetcar.  Conveniently located to downtown Detroit's rapidly expanding selection of bars and restaurants.
    Use the hotel's website to reserve a room by October 20.  $115/night.

Transportation

Wayne State is served by the Q line streetcar, which conveniently connects the main campus with downtown Detroit.

Parking is available in Structure 6 at the corner of Cass and Putnam for $8.75.  You will need a credit card to enter and to exit the structure.  Street parking is metered in the vicinity of State Hall.

The Amtrak station in Detroit is located about one mile from the Wayne State campus.  Several trains per day travel between Detroit and Chicago.  Megabus also provides transportation between Chicago and Detroit, with a stop just a few blocks from the Wayne State campus.

Detroit Metropolitan Airport (DTW) is the most convenient airport for Wayne State University.  Private taxis are the best option for ground transportation between DTW and Wayne State.

Local Information

Wayne State University is located in the heart of Midtown.  Many restaurants, bars, and shops are within walking distance of the main campus.

Here are a few recommended restaurants near Wayne State University:

  • Cass Cafe (American, vegetarian friendly)
  • Byblos (Meditteranean)
  • Cafe DIA (in the Detroit Institute of Arts)
  • Wasabi (Japanese, Korean)
  • Seva (vegetarian)
  • Sweet Lorraine's Mac n Brewz (salads, mac n cheese, wraps, coffee)
  • La Pita (Meditteranean fast food)
  • Student Center (fast food, Taco Bell, Panda Express)
  • Cafe 78 (in the Museum of Contemporary Art Detroit)
  • Motor City Brewery (pizza, microbrewery)
  • Jolly Pumpkin (pizza, sandwiches, microbrewery)
  • Go Sy Thai
  • Avalon International Breads (sandwiches, pastries, coffee)

There are several options for coffee near Wayne State University:

  • Sweet Lorraine's Mac n Brewz
  • Fourteen East
  • Student Center Starbucks
  • Welcome Center Starbucks
  • Tim Hortons
  • Cafe 78

 

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