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Bott-Samelson varieties and combinatorics

Geometric and topological combinatorics: Modern techniques and methods October 09, 2017 - October 13, 2017

October 13, 2017 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Laura Escobar (University of Illinois at Urbana-Champaign)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Bott-Samelson variety

  • associahedron

  • rhombic tilings

  • moment polytope

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

16-Escobar

Abstract

Schubert varieties parametrize families of linear spaces intersecting certain hyperplanes of C^n in a predetermined way. In the 1970’s Hansen and Demazure independently constructed resolutions of singularities for Schubert varieties: the Bott-Samelson varieties. In this talk I will describe their relation with associahedra. I will also discuss joint work with Pechenick-Tenner-Yong linking Magyar’s construction of these varieties as configuration spaces with Elnitsky’s rhombic tilings. Finally, based on joint work with Wyser-Yong, I will give a parallel for the Barbasch-Evens desingularizations of certain families of linear spaces which are constructed using symmetric subgroups of the general linear group.

Supplements
29776?type=thumb Escobar Notes 726 KB application/pdf Download
Video/Audio Files

16-Escobar

H.264 Video 16-Escobar.mp4 131 MB video/mp4 rtsp://videos.msri.org/data/000/029/614/original/16-Escobar.mp4 Download
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