250057 VO Selcted topics in Combinatorics (2014S)
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Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Thursday
13.03.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
20.03.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
27.03.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
03.04.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
10.04.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
08.05.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
15.05.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
22.05.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
05.06.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
12.06.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday
26.06.
10:15 - 11:45
Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
Information
Aims, contents and method of the course
Assessment and permitted materials
oral exam
Minimum requirements and assessment criteria
Examination topics
Reading list
The course will be based on the book
"k-Schur functions and affine Schubert
calculus" by Thomas Lam, Luc Lapointe, Jennifer Morse,
Anne Schilling, Mark Shimozono, and Mike Zabrocki.
It is available at http://arxiv.org/abs/1301.3569.
"k-Schur functions and affine Schubert
calculus" by Thomas Lam, Luc Lapointe, Jennifer Morse,
Anne Schilling, Mark Shimozono, and Mike Zabrocki.
It is available at http://arxiv.org/abs/1301.3569.
Association in the course directory
MALV
Last modified: Mo 07.09.2020 15:40
"k-Schur functions". These form a special class of
symmetric functions, of which - after their Introduction
by Lapointe, Lascoux, and Morse in connection with a
conjecture on Macdonald polynomials, an enormously
important class of symmetric functions - it was
realised over time that they appear in various different
algebraic contexts and play a significant role there.I shall start with a brief introduction into the "classical"
theory of symmetric functions, which will present the
description of the importat bases of the space of symmetric
functions - elementary symmetric functions, complete
homogeneous symmetric functions, monomial symmetric
functions, power symmetric functions, Schur functions,
together with the combinatorial theory, which is tied
with them.Then I shall enter the fascinating theory of these
"k-Schur functions", which contains many analogues to
the "classical" theory of symmetric functions, but
at the same time many surprising twists and open
problems.