Rocky Mountain Algebraic Combinatorics Seminar

Lower bound theorems for balanced manifolds

Isabella Novik
University of Washington

In this talk we will concentrate on finite simplicial complexes (that is, points, line segments, triangles, and higher-dimensional simplices nicely glued together) that traingulate manifolds. A (d−1)-dimensional complex is called balanced if its graph is d-corolable in the usual graph-theoretic sence. After reviewing what is known about the face numbers of triangulated manifolds without the balancedness assumption, we will discuss several very recent balanced analogs of these results. One of them is a lower bound on the number of edges of a balanced triangulation of a manifold M in terms of the number of vertices and the 1st homology of M.

This is joint work with Martina Juhnke-Kubitzke, Satoshi Murai, and Connor Sawaske.


Testing isomorphism of graded algebras

Peter Brooksbank
Bucknell University

The context for this talk is "the isomorphism problem" for finite groups. Much of the recent work on this problem - especially within the computational group theory community - has been concerned with developing practical tools for testing isomorphism of p-groups and their related structures. In this talk, which reports on a current project with Eamonn O'Brien and James Wilson, I propose graded algebras as a natural framework for these efforts and consider the isomorphism problem for such structures. The machinery and theory required draws from a range of recent collaborative works, including a crucial recent one with Joshua Maglione and Wilson.


Weber 223
4–6 pm
Friday, March 24, 2017
(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.

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Previous Seminars:

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