Mathematics
Seminar
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Rocky Mountain Algebraic Combinatorics Seminar
A crystal-like structure on shifted tableaux
Maria Monks Gillespie
University of California, Davis
We establish a crystal-like structure on shifted tableaux, whose characters
are the Schur Q-functions. In particular, we will define two sets of
coplactic raising and lowering operators E, F, E', and F' on shifted
tableaux that each independently give a type A Kashiwara crystal. Taken
together, these operators detect highest weight skew shifted tableaux,
giving a new shifted Littlewood-Richardson rule. We also give local axioms
that characterize these "doubled crystals", analogous to Stembridge's axioms
for ordinary tableaux crystals.
If time permits, we will discuss some applications of these operators to
understanding real Schubert curves in the orthogonal Grassmannian. This is
joint work with Jake Levinson and Kevin Purbhoo.
Heisenberg categorification
Alistair Savage
University of Ottawa
The Heisenberg algebra plays a vital role in many areas of mathematics and
physics. In this talk, we will give an overview of current research into
its categorification. In particular, we will explain how certain monoidal
categories, consisting of planar diagrams, have Grothendieck rings
isomorphic to the Heisenberg algebra. These categories act naturally on
categories of modules over algebras related to affine Hecke algebras and
their degenerate analogues. In this way, Heisenberg categorification gives
us new topological and categorical tools to approach the representation
theory of these Hecke-type algebras.
Weber 223
4–6 pm
Friday, Apr 20, 2018
(Refreshments in Weber 117, 3:30–4 pm)
Colorado State University
This is a joint Denver U / UC Boulder / UC Denver / U of Wyoming / CSU seminar that meets biweekly.
Anyone interested is welcome to join us at a local restaurant for dinner after the talks.
PDF version
Previous Seminars:
- Apr 6, 2018
- Susan Hermiller,
Nathaniel Thiem
- March 23, 2018
- Henry Tucker,
Richard Green
- March 2, 2018
- Nik Ruskuc,
Joshua Grochow
- February 16, 2018
- Hamidreza Chitsaz,
Mark Lewis
- February 2, 2018
- James B. Wilson,
Anton Betten
- November 10, 2017
- Michael Kinyon,
Petr Vojt\v{e}chovsk\'y
- October 20, 2017
- Eric Moorhouse,
William DeMeo
- October 6, 2017
- Spencer Gerhardt,
Joshua Grochow
- September 22, 2017
- Amanda Schaeffer Fry,
Henry Kvinge
- September 8, 2017
- Peter Mayr,
James B. Wilson
- May 5, 2017
- Ferdinand Ihringer,
Gavin King
- April 21, 2017
- Vladimir D. Tonchev,
Morgan Rodgers
- April 7, 2017
- Jason Williford,
Anton Betten
- March 24, 2017
- Isabella Novik,
Peter Brooksbank
- March 3, 2017
- Jintai Ding,
Curtis Bennett
- February 17, 2017
- Fatma Karaoglu,
Eric Moorhouse
- February 3, 2017
- Tim Penttila,
James B. Wilson
- December 2, 2016
- Jim Fowler,
Andrew Kelley
- November 11, 2016
- Joseph Gersch,
Joshua Maglione
- October 28, 2016
- John MacLaren Walsh,
Henry Adams
- October 14, 2016
- JM Landsberg,
James B. Wilson
- September 30, 2016
- Alexander Hulpke,
Oscar Levin
- September 16, 2016
- Delaram Kahrobaei,
Amit Patel
- June 23, 2016
- Jason Cantarella,
Michal Adamaszek
- April 29, 2016
- Nick Loehr,
Jason Williford
- April 15, 2016
- Alexander Hulpke,
Klaus Lux
- April 1, 2016
- Eamonn O'Brien,
Izabella Stuhl
- February 19, 2015
- James Wilson,
Anton Betten
- December 4, 2015
- Maria Monks Gillespie,
Dane Flannery
- November 13, 2015
- Richard Green,
Tim Penttila
- October 23, 2015
- Christina Boucher,
Sylvia Hobart
- October 9, 2015
- Josh Maglione,
Ghodratollah Aalipour
- September 25, 2015
- Ross McConnell,
Henry Adams
- September 11, 2015
- James B. Wilson,
Tim Penttila
- May 8, 2015
- Amanda Schaeffer Fry,
Peter Brooksbank
- April 24, 2015
- Heide Gluesing-Luerssen,
Phil DeOrsey
- March 6, 2015
- Felice Manganiello,
Eric Moorhouse
- February 20, 2015
- Anton Dzhamay,
Anton Betten
- February 6, 2015
- Alexander Hulpke,
Morgan Rodgers
- December 5, 2014
- Stefaan De Winter,
Gretchen Matthews
- November 14, 2014
- Greg Coxson,
Tom Dorsey
- October 31, 2014
- Octavio Paez Osuna,
Sylvia Hobart
- October 10, 2014
- Takunari Miyazaki,
Eric Moorhouse
- September 26, 2014
- Elissa Ross,
Anton Betten
- September 12, 2014
- Petr Vojtěchovský,
Alexander Hulpke
- May 9, 2014
- Philip DeOrsey,
Tim Penttila
- April 25, 2014
- William J Martin,
Jason Williford
- April 11, 2014
- Victor Pambuccian,
George Shakan
- March 7, 2014
- Nathan Lindzey,
Jens Harlander
- February 21, 2014
- Ross McConnell,
Anton Betten
- November 22, 2013
- Justin Hughes,
Josh Maglione
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Department of Mathematics Fort Collins, Colorado 80523
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