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): Equivariant Structure on Smash Powers
Abstract - Rob H. Eggermont (Eindhoven University of Technology, The Netherlands): Polynomial functors and strength
Abstract - Moritz Groth (University of Bonn, Germany): Abstract cubical homotopy theory
Abstract - Javier J. Gutiérrez (University of Barcelona, Spain): Morita homotopy theory for (∞,1)-categories and ∞-operads
Abstract - Ralph Kaufmann (Purdue University, USA): Encoding (combinatorial) structures and their refinements – FI, Feynman and beyond
Abstract - Henning Krause (University of Bielefeld, Germany): Completing perfect complexes
Abstract - 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): Higher monoidal diagram categories
Abstract - Stefan Schwede (University of Bonn, Germany): I-modules and symmetric spectra
Abstract
Program
List of Participants
Organizers
Tim Römer, Oliver Röndigs and Markus Spitzweck