New York Number Theory Seminar
May 08, 2003, 3:30 PM in Room 5417
- Speaker:
- Alexander Rozenblyum, New York City College of Technology, CUNY
- Title:
- Quantum Groups: introduction and basic concepts
- Abstract:
- This will be an expository lecture to introduce number theorists
to quantum groups, a topic which will be of increasing importance in
number theory. Quantum groups were introduced in the early 1980s. They
first arose in the physics literature and were used to
construct solutions of the so-called Yang-Baxter equations. Since then
they have found numerous applications in different areas of theoretical
physics and mathematics. In this talk, basic concepts related to quantum
groups will be discussed: coalgebras, Hopf algebras and deformations. Some
examples and applications of quantum groups will be considered, and in
particular, their relationships to the so-called q-special functions.