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What and Who
Title:A non-iterative rule for straightening fillings of Young diagrams
Speaker:Reuven Hodges
coming from:Max-Planck-Institut für Informatik - D1
Speakers Bio:
Event Type:AG1 Mittagsseminar (own work)
Visibility:D1
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Level:AG Audience
Language:English
Date, Time and Location
Date:Tuesday, 16 October 2018
Time:13:00
Duration:30 Minutes
Location:Saarbrücken
Building:E1 4
Room:024
Abstract
Young diagrams are fundamental combinatorial objects in representation theory and algebraic geometry. Many constructions that rely on these objects depend on a straightening process, originally due to Alfred Young, that expresses a filling of a Young diagram as a sum of semistandard tableaux subject to certain relations. All previously existing algorithms for straightening a filling have been iterative processes and it has been a long-standing open problem to give a non-iterative algorithm. In this talk I will provide such an algorithm, as well as a simple combinatorial description of the coefficients that arise. This non-iterative method is both more useful for proofs and considerably more efficient than the classical straightening algorithms. I will cover all the combinatorial background necessary for this topic, the only prerequisite is some basic linear algebra.
Contact
Name(s):Reuven Hodges
EMail:rhodges@mpi-inf.mpg.de
Video Broadcast
Video Broadcast:NoTo Location:
Tags, Category, Keywords and additional notes
Keywords:straightening; Young diagrams; tableau; representation theory
Note:
Attachments, File(s):
  • Reuven Hodges, 10/09/2018 01:59 PM -- Created document.