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Faculty of Science Mathematics & Statistics
Faculty of Science

Mathematics & Statistics

Colloquium - "Flag Varieties and Alcove Walks" - Elizabeth Milicevic

From January 26, 2018 15:30 until January 26, 2018 16:30

 


 
Please note that the room for the Colloquium talk has been changed to Hamilton Hall, Room 109

The refreshments will be served in the Math Cafe, Hamilton Hall at 3:00 pm

 

Elizabeth Milicevic
Haverford College

Title:   Flag Varieties and Alcove Walks

Abstract:   Flag varieties play a central role in the intersection of algebraic geometry, representation theory, and algebraic combinatorics.  The points in this variety are defined as increasing chains of subspaces in a vector space, but these points also have a convenient combinatorial description given by taking a walk among the alcoves in a Euclidean geometric model for the flag variety.  Because flag varieties and their generalizations can be quite large, it can be unwieldy to study the points individually, and so we often collect them into orbit of various groups.  We will explain how folding the alcove walks in the geometric model provides a means for visualizing the de-composition of the flag variety into orbits of certain groups.  The goal of this talk will be to explain precisely how these algebraic, geometric, and combinatorial stories coincide, primarily by drawing lots of pictures in concrete examples.  No specialized background required. 

This colloquium is part of the "Combinatorial Algebra meets Algebraic Combinatorics" conference being held at McMaster University from Jan. 26-28.

 

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McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca