Mathematics Dept.
  Events
UIUC
Mon 15 Apr 2013, 3:10pm
Algebraic Geometry Seminar
ESB 4133
Varieties in flag manifolds and their patch ideals
ESB 4133
Mon 15 Apr 2013, 3:10pm-4:10pm

Abstract

This talk addresses the problem of how to analyze and discuss singularities of a variety X that "naturally'' sits inside a flag manifold. Our three main examples are Schubert varieties, Richardson varieties and Peterson varieties. The overarching theme is to use combinatorics and commutative algebra to study the "patch ideals", which encode local coordinates and equations of X. Thereby, we obtain formulas and conjectures about X's invariants. We will report on projects with (subsets of) Erik Insko (Florida Gulf Coast U.), Allen Knutson (Cornell), Li Li (Oakland University) and Alexander Woo (U. Idaho).
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University of Southern California
Mon 17 Mar 2014, 3:00pm
Algebraic Geometry Seminar
TBA
TBA
TBA
Mon 17 Mar 2014, 3:00pm-10:00am

Abstract


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