Activities
➜ Research Seminar and Conference Talks
Student Seminar and Summer School Talks
The high-degree cohomology of SL_n(Z) (3 talks)COGENT Patzt/Wilson lecture series notes + exercises
Background on cohomology of groups
Patzt Lecture 1: Borel-Serre duality (video)
Wilson Lecture 1: The top-degree cohomology of SL_n(R) for R Euclidean (video)
Wilson Lecture 2: The Steinberg module and (integral) apartment classes (video)
Wilson Lecture 3: The complex of partial bases is Cohen-Macaulay (video)
Patzt Lecture 2: The codimension-1 cohomology of SL_n(Z) (video)
Patzt Lecture 3: The top-degree cohomology of congruent subgroups of SL_n(Z) (video)
Patzt Lecture 4: Open problems and future directions (video)
COGENT Summer School, Institut Fourier, Grenoble, 13 – 24 June 2022.
Representation stability for the Torelli groups (2 talks)
OTTERS Representation Stability Seminar, Michigan, 5 Nov & 3 Dec 2021.
High-degree rational cohomology of special linear groups (2 talks)
Background notes & exercises: group (co)homology and virtual duality groups
Lecture 1: Cohomology in the top degree (notes) (video)
Lecture 2: Generators of the Steinberg module (notes) (video)
Exercises on the lectures
High dimensional cohomology of moduli spaces, Copenhagen, 28 & 29 Jun 2021.
Introduction to buildings (2 talks)
Lecture 1: Coxeter groups and reflection groups (notes)
Lecture 2: The definition of a building (notes)
OTTERS Representation Stability Seminar, Michigan, 4 & 18 Sep 2020.
Quillen's approach to homological stability (2 talks) (notes)
Representation Stability Seminar, Michigan, 17 & 24 Apr 2020.
(In)stability in configuration spaces.
Michigan Virtual Recruitment Weekend, 13 Mar 2020.
The high-degree cohomology of SL_n(Z) (2 talks)
Representation Stability Seminar, Michigan, 28 Oct & 11 Nov 2019.
Rep stability for configuration spaces of open manifolds (2 talks) (notes and exercises)
Graduate Summer School on Representation Stability, MSRI, 24 Jun – 5 Jul 2019.
Representation Stability (abstract)
Junior Colloquium Series, Michigan, 15 Feb 2019.
Representation stability,
Capsule Research Talks, University of Michigan, 31 Aug 2018.
An introduction to FI-modules & generalizations (3 talks) (notes and exercises)
Michigan Representation Stability Week,
University of Michigan, 13–18 Aug 2018.
The geometry and topology of braid groups (3 talks) (notes and exercises)
Geom–Top Summer Workshop "Roots of Topology", Chicago, 12–15 Jun 2018.
Representation stability,
Facutly Area Research Seminar, Stanford, 14 Mar 2017.
Quillen's approach to homological stability,
Student Topology Seminar, Stanford, 22 Feb 2017.
Stability in the homology of congruence subgroups,
Topology Progress Seminar, Stanford, 1 Jun 2016.
Representation stability for configuration spaces,
Topology Progress Seminar, Stanford, 9 Mar 2016.
What is Deligne's category Rep(S_t)?
Topology Progress Seminar, Stanford, 2 Dec 2015.
(Deligne’s 2004 paper) (Exposition by David Speyer)
Hyperplane complements (Part II),
Topology Progress Seminar, Stanford, 1 May 2015.
Hyperplane complements (Part I),
Topology Progress Seminar, Stanford, 15 Apr 2015.
The Noetherian Property for VI(R) and VIC(R),
Reading group on representation stability, Stanford, August-September 2014 (3 talks).
Preprint: Putman-Sam, Representation stability and finite linear groups.
A foray into iterated loop space theory (abstract),
Farb and Friends Student Seminar, Chicago, 15 May 2014.
The cohomology of the braid group and polynomials over finite fields (abstract) (notes),
Farb and Friends Student Seminar, Chicago, 30 Jan 2014.
Generating functions,
Pizza Seminar, Chicago, 8 Jan 2014.
The topology of hyperplane complements (abstract) (notes),
Farb and Friends Student Seminar, Chicago, 14 Nov 2013.
An introduction to Outer space and homological properties of Out(Fn) (notes),
Reading group on automorphisms of free groups, Chicago, 3 Jul 2013.
Homological stability and the spectral sequence of a double complex,
Reading group on the Madsen-Weiss Theorem, Chicago, 20 May 2013.
Cohomology of braid groups and configuration spaces (abstract) (notes),
Farb and Friends Student Seminar, Chicago, 16 May 2013.
Polynomial invariants of finite reflection groups (abstract) (notes),
Farb and Friends Student Seminar, Chicago, 14 Feb 2013.
FI--modules and representations of the classical Weyl groups (abstract),
Farb and Friends Student Seminar, Chicago, 7 Nov 2012.
Review of manifolds (Notes and Exercises)
WOMP First-year math graduate warm-up program, Chicago, 20 Sep 2012.
Representation stability and FI--modules (abstract) (slides) (slides, with notes),
Topology Student Workshop, Georgia Tech, 14 Jun 2012.
What is an FI--module? (abstract),
Farb and Friends Student Seminar, Chicago, 10 May 2012.
What is representation stability?
Guest Lecture in Graduate Algebraic Topology, British Columbia, 3 Apr 2012.
An introduction to Coxeter groups (abstract),
Farb and Friends Student Seminar, Chicago, 8 Mar 2012.
Finiteness conditions in group cohomology (abstract),
Farb and Friends Student Seminar, Chicago, 27 Oct 2011.
The Littlewood--Richardson coefficients,
Pizza Seminar, Chicago, 4 May 2011.
A gentle introduction to spectral sequences, Part II (abstract) (notes),
Farb and Friends Student Seminar, Chicago, 21 Apr 2011.
A gentle introduction to spectral sequences (abstract) (notes),
Farb and Friends Student Seminar, Chicago, 24 Feb 2011.
Representation stability (abstract),
Farb and Friends Student Seminar, Chicago, 30 Nov 2010.