By Infinitesimal Cherednik algebras/ Double Affine Hecke algebra’s significant implications in Representation theory, you will be able to prove the real-life context like Macdonald’s constant term conjecture for Macdonald polynomials whereas by understanding Mathematical Physics helps you identify the development of mathematical methods for application to problems in physics. This **[course_title]** will help you understand Combinatorics for the applications from logic to statistical physics, from evolutionary biology to computer science.

**Assessment**

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

**Certification**

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Course Credit: MIT

### Course Curriculum

Introduction | 00:10:00 | ||

Classical and quantum Olshanetsky-Perelomov systems for finite Coxeter groups | 00:20:00 | ||

The rational Cherednik algebra | 00:15:00 | ||

The Macdonald-Mehta integral | 00:20:00 | ||

Parabolic induction and restriction functors for rational Cherednik algebras | 00:20:00 | ||

The Knizhnik-Zamolodchikov functor | 00:15:00 | ||

Rational Cherednik algebras and Hecke algebras for varieties with group actions | 00:15:00 | ||

Symplectic reflection algebras | 00:15:00 | ||

Calogero-Moser spaces | 00:15:00 | ||

Quantization of Calogero-Moser spaces | 00:20:00 | ||

Assessment | |||

Submit Your Assignment | 00:00:00 | ||

Certification | 00:00:00 |

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