250089 VO Symmetric Functions in Geometry (2023W)
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Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Friday
06.10.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
13.10.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
20.10.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
27.10.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
03.11.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
10.11.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
17.11.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
24.11.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
01.12.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
15.12.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
12.01.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
19.01.
13:15 - 15:30
Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
Friday
26.01.
13:15 - 15:30
Seminarraum 8 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
Linear algebra, algebra
Examination topics
Reading list
Some of the topics are covered in the following books, some of which are quite advanced, so during the course we will attempt to give a more accessible presentation:
Macdonald "Symmetric functions and Hall polynomials"
Fulton, Harris "Representation Theory: A First Course"
Fulton "Young tableaux"
Milnor, Stasheff "Characteristic classes"
Macdonald "Symmetric functions and Hall polynomials"
Fulton, Harris "Representation Theory: A First Course"
Fulton "Young tableaux"
Milnor, Stasheff "Characteristic classes"
Association in the course directory
MALV; MGEV
Last modified: Th 29.02.2024 07:26
In particular we are going to cover the following topics: symmetric functions, representations of symmetric and general linear groups, Schur-Weyl duality, geometry of Grassmannians and flag manifolds, vector bundles, K-theory, characteristic classes, Hirzebruch-Riemann-Roch theorem, Borel-Weil-Bott theorem.