Mathematics
Seminar
|
|
|
Rocky Mountain Algebraic Combinatorics Seminar
Normal supercharacter theories and Hopf structures
Farid Aliniaeifard
University of Colorado, Boulder
The concept of Hopf algebras originated from the theory of
algebraic groups and algebraic topology in the mid 20th century and now it has many application in algebraic combinatorics. Also, the notion of a Hopf monoid in the monoidal category of linear spec ies was introduced by Aguiar and Mahajan, and they show the great importance of this concept in algebraic combinatorics with examples that shows many combinatorial objets have Hopf monoid structures . Hopf structures have numerous applications in many other mathematical branches, and now it is a familiar concept in representation theory as the class functions or superclass functions of some tower of groups have Hopf structures where representation theoritic functors give the product and coproduct. In this talk, we give a brief introduction to normal supercharacter theories and Galois c haracter theories, and then we construct several Hopf structure by using these supercharacter theories. (With Nat Thiem and Shawn Burkett)
Subgroups of simple groups of Lie type are maximally diverse
Brady Tyburski
Colorado State University
Highly symmetric geometries over vector spaces over fields are the source of
all but one infinite family of simple groups. These groups of Lie type have
rigid properties labeled by the delicate geometries organized by Dynkin
diagrams and Chevalley’s commutator formulas which govern their products.
Being simple, these groups have enormous conjugacy classes forcing many
subgroups to be isomorphic and allowing for several classification projects
of these subgroups.
In this talk, we demonstrate this rigidity is an illusion. Simple groups of
Lie type and order n have n
Θ(logn) pairwise non-isomorphic
subgroups – the most possible for any group of order n. Similar counts
for the number of conjugacy classes apply, too.
Weber 223
4–6 pm
Friday, Sep 28, 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:
- Sep 7, 2018
- James Wilson,
Alexander Hulpke
- Apr 20, 2018
- Maria Monks Gillespie,
Alistair Savage
- 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
|
Department of Mathematics Fort Collins, Colorado 80523
|