Combinatorial Categories in Algebra and Topology

This workshop, jointly organized by the algebra group and the topology group at Universitaet Osnabrueck, concerns prominent indexing categories with applications to interesting problems in commutative algebra and algebraic topology. The prime example sparking our interest is the work of Snowden, Church, Ellenberg and others on GL-structures and FI-modules, which involves variations on categories of finite sets and injections. These occur prominently in algebraic topology whenever algebraic structures up to homotopy have to be encoded. Our aim is to bring researchers with different backgrounds but a common interest in special indexing categories together and catalyze a fruitful exchange. After starting the workshop with a short overview session, we intend to have both research talks and problem sessions, with ample time for discussions.

Dates

The workshop will take place from November 22 – 24, 2018 at the University of Osnabrück, Institute of Mathematics, Albrechtstraße 28a, Buildung 69, room 125.

Invited talks

  • Morten Brun (University of Bergen, Norway)
  • Rob H. Eggermont (Eindhoven University of Technology, The Netherlands): Polynomial functors and strength
    Abstract
  • Moritz Groth (University of Bonn, Germany)
  • Javier J. Gutiérrez (University of Barcelona, Spain): Morita homotopy theory for (∞,1)-categories and -operads
    Abstract
  • Ralph Kaufmann (Purdue University, USA)
  • Henning Krause (University of Bielefeld, Germany)
  • Liping Li  (Hunan Normal University, China): A homological approach to representation theory of FI
    Abstract
  • Ieke Moerdijk (University of Utrecht, The Netherlands): Shuffles of trees
    Abstract
  • Uwe Nagel (University of Kentucky, USA): Stabilization in Sequences of Symmetric Ideals
    Abstract
  • Dang Hop Nguyen (Hanoi Institute of Mathematics, Vietnam): Castelnuovo-Mumford regularity up to symmetry
    Abstract
  • Steffen Sagave (Radboud University Nijmegen, The Netherlands): Diagram Categories and Commutativity in Topology
    Abstract
  • Christian Schlichtkrull (University of Bergen, Norway)
  • Stefan Schwede (University of Bonn, Germany): I-modules and symmetric spectra
    Abstract

Program

TBA

List of Participants

Organizers

Tim RömerOliver Röndigs and Markus Spitzweck

Registration

Recommended Accommodation

A limited number of rooms has been set aside at the Intour Hotel until November 1st. Mention the keyword category when making a reservation.