AIS - Representation Theory (2022)
Speakers and Syllabus
| Speaker | No. of Lectures (90 mins) |
Detailed Syllabus |
| Pooja Singla IIT Kanpur | 6 | Projective representations of finite groups. |
| Sumana Hatui IISc Bangalore | 6 | Groups and their Conjugacy Classes (conjugacy classes in semidirect products, and Heisenberg groups among others). |
| K N Raghavan IMSc Chennai | 6 | Frobenius-Schur indicators. |
| S Viswanath IMSc Chennai | 6 | Basic Character theory (up to Schur orthogonality). |
| Upendra Kulkarni CMI, Chennai | 6 | Induction and Clifford theory. |
| Amritanshu Prasad IMSc, Chennai | 6 | A glimpse of modular representation theory. |
References:
1. M. Isaacs, Character Theory of Finite Groups
2. C. W. Curtis, Pioneers of Representation Theory
3. J. Alperin and R. Bell, Groups and Representations
4. J. Alperin, Local Representation Theory
5. G. Karpilovsky, Projective Representations of Finite Groups
6. J.-P. Serre, Linear Representations of Finite Groups
7. W. Fulton and J. Harris, Representation Theory
(Lecture notes from the speakers, if available)
Tutorial Assistants:
| S. No. | Name | Affiliation |
| 1 | Digjoy Paul | TIFR |
| 2 | Sadhanandh Vishwanath | CMI |
| 3 | Hassain Maliyekkal | IMSc |
|
Full forms for the abbreviations of speakers and tutors: |
Time Table
| Day | Date | Lecture 1 (9.30– 11.00) |
Tea (11.05 – 11.25) |
Lecture 2 (11.30–1.00) |
Lunch (1.05– 2.25) |
Tutorial (2.30–3.30) |
Tea (3.35- 3.55) |
Tutorial (4.00-5.00) |
Snacks 5.05-5.30 |
| Mon | 20 | SV | SH | SV+DP+HM | SH+HM+DP | ||||
| Tue | 21 | SV | SH | SV+DP+HM | SH+HM+DP | ||||
| Wed | 22 | SV | SH | SV+DP+HM | SH+HM+DP | ||||
| Thu | 23 | SV | SH | SV+DP+HM | SH+HM+DP | ||||
| Fri | 24 | SV | SH | SV+DP+HM | SH+HM+DP | ||||
| Sat | 25 | SV | SH | SV+DP+HM | SH+HM+DP | ||||
| SUNDAY : OFF | |||||||||
| Mon | 27 | UK | PS | UK+SD+DP | PS+DP+SD | ||||
| Tue | 28 | UK | PS | UK+SD+DP | PS+DP+SD | ||||
| Wed | 29 | UK | PS | UK+SD+DP | PS+DP+SD | ||||
| Thu | 30 | UK | PS | UK+SD+DP | PS+DP+SD | ||||
| Fri | 1 | UK | PS | UK+SD+DP | PS+DP+SD | ||||
| Sat | 2 | UK | PS | UK+SD+DP | PS+DP+SD | ||||
| SUNDAY : OFF | |||||||||
| Mon | 4 | KN | AP | KN+SD+HM | AP+HM+SD | ||||
| Tue | 5 | KN | AP | KN+SD+HM | AP+HM+SD | ||||
| Wed | 6 | KN | AP | KN+SD+HM | AP+HM+SD | ||||
| Thu | 7 | KN | AP | KN+SD+HM | AP+HM+SD | ||||
| Fri | 8 | KN | AP | KN+SD+HM | AP+HM+SD | ||||
| Sat | 9 | KN | AP | KN+SD+HM | AP+HM+SD | ||||