AIS Classical Groups (2013)
| Venue: | IISER, Pune |
| Dates: | 5th -26th December , 2013 |
| Convener(s) | Speakers, Syllabus and Time table | Applicants/Participants |
| Name | Anupam Kumar Singh | Shripad M. Garge |
| Mailing Address | IISER Pune, Central tower, Sai Trinity building, Pashan circle, Sutarwadi, Pune. 411 021 |
Department of Mathematics, IIT Mumbai, Powai, Mumbai. 400 076 |
Prerequisites: Linear Algebra over arbitrary fields and Galois theory. This material can be found in many books, for instance, in:
1. Dummit, Foote: Abstract Algebra.
Syllabus: Grove: ‘Classical groups and Geometric Algebra’
References:
1. Emil Artin: Geometric algebra.
2. Cameron: Classical groups (available at http://www.maths.qmul.ac.uk/~pjc/class_gps/)
3. Hahn, O’meara: ‘Classical groups and K-Theory’.
4. Jacobson: Basic algebra.
5. Lam: Introduction to quadratic forms over fields
Speakers/Tutors :
1.Shripad Garge, IIT Mumbai, (General linear and symplectic groups, Ch. 1, 3).
2.Preena Samuel, CMI Chennai, (Bilinear forms, Ch. 2, 4).
3.Amit Kulshrestha, IISER Mohali, (Orthogonal geometry and orthogonal groups, Ch. 5, 6).
4.Anupam Singh, IISER Pune, (Clifford algebras and spin groups, Ch. 8, 9).
5.Maneesh Thakur, ISI Delhi, (Unitary spaces and unitary groups, Ch. 10, 11).
5.Anuradha Garge, University of Mumbai, (Introduction to K-theory).
The chapter numbers are from Grove : Classical groups and Geometric Algebra.
1..Dipendra Prasad, TIFR Mumbai. (Guest speaker: Maximal subgroups of classical groups)
2.M. S .Raghunathan, IIT Mumbai (Guest speaker: Kneser-Tits problem)
1.Pratyusha Chattopadhyay, ISI Kolkata.
2.Anuradha Ahuja, IIT Mumbai.
3.Anirban Bose, ISI Delhi.
| 9:30-11:00 | 11:30-13:00 | 14:30-16:30 | 17:00-18:00 |
| Lecture 1 | Lecture 2 | Tutorial | Extra lecture (if needed) |
List of selected applicants
| Serial | Full Name | Gender | Affiliation | State | Position in College/ University |
University /Institute M.Sc./M.A. |
Year of Passing M.Sc./ M.A |
Ph.D. |
| 1 | Mr. Ramen Ghosh | M | Chennai Mathematical Institute | Tamil Nadu | Msc Student | Chennai Mathematical Institute |
2011 | |
| 2 | Ms Saudamini Nayak | F | National Institute of Technology Rourkela | Orissa | PhD Student | Sambalpur University, Odisha |
2008 | |
| 3 | Mr. Soumyadip Das | M | National Institute of Science Education and Research, Bhubaneswar. | Orissa | Integrated MSc. Student | NISER, Bhubaneswar | NA | |
| 4 | Mr Tushar Kanta Naik | M | Chennai Mathematical Institute | Tamil Nadu | M.Sc student | Chennai Mathematical Institute |
Appeared/ Awaiting Result | |
| 5 | Ms. Dilpreet Kaur | F | IISER Mohali | Punjab | PhD student | P.U. chandigarh | 2009 | |
| 6 | Ms Ambily A. A. | F | Indian Statistical Institute, Bangalore | Karnataka | Ph.D. Student | Cochin University of Science and Technology, Kerala |
2007 | |
| 7 | Ms. Neha Bhatia | F | Department of Mathematics University of Delhi | Delhi | PhD student | Hindu College University of Delhi | 2010 | |
| 8 | Mr Provanjan Mallick | M | IIT Madras | Tamil Nadu | Msc student ( year of passing 2012) | IIT Madras | 2012 | |
| 9 | Mr. Laxmi Kant Mishra | M | University of Allahabad | Uttar Pradesh | D.Phil. Student | University of Allahabad | 2009 | |
| 10 | Ms Shraddha Srivastava | F | Chennai Mathematical Institute | Tamil Nadu | student | IIT Bombay | 2011 | |
| 11 | Ms. Neha Ahuja | F | Department Of Mathematics University Of Delhi | Delhi | M.Phil In Algebra | UNIVERSITY OF DELHI | 2009 | |
| 12 | Mr. Sayanta Mandal | M | Chennai Mathematical Institute | Tamil Nadu | BSc Student | Chennai Mathematical Institute |
NA | |
| 13 | Mr. G.Arun Kumar | M | Institute of Mathematical Sciences | Tamil Nadu | PhD | AyyaNadar JanakiAmmal College of Arts and Science, Sivakasi, Tamilnadu. | 2011 | |
| 14 | Dr. Sujit Kumar Sardar | M | Jadavpur University | West Bengal | Associate Professor | University of Calcutta (Department of Pure Mathematics) | 1989 | 7 Jan 2004 |
| 15 | Mr. Shiv Parsad | M | IISER Mohali | Punjab | PhD student | Punjabi University, Patiala |
2007 | |
| 16 | Mr. Vipul Kakkar | M | Univ Of Allahabad | Uttar Pradesh | Research Scholar | Univ of Allahabad | 2004 | |
| 17 | Ms. Rekha Biswal | F | The Institute Of Mathematical Sciences,Chennai | Tamil Nadu | Senior Research Fellow | INDIAN INSTITUTE OF TECHNOLOGY, BOMBAY | NA | |
| 18 | Dr Geetha Thangavelu | F | The Institute of Mathematical Sciences | Tamil Nadu | Post-Doctoral fellow | Nandha arts and science college, Erode, Tamilnadu | 2007 | 14 Mar 2012 |
| 19 | Ms. Nisha Bohra | F | Department Of Mathematics University Of Delhi | Delhi | Mphil Student | ST. STEPHENS COLLEGE, DELHI UNIVERSITY | 2011 | |
| 20 | Mr. Ashish Mishra | M | IIT Bombay | Maharashtra | PhD Student | University of Delhi | 2008 | |
| 21 | Mr. Sunil Kumar Prajapati | M | Indian Statistical Institute Bangalore | Karnataka | Postdoctoral Fellow | Banaras Hindu University | 2005 | |
| 22 | Ms Neha Hooda | F | ISI- Delhi | Delhi | Student | IIT delhi | 2010 | |
| 23 | Mr. Soham Swadhin Pradhan | M | IIT BOMBAY | Maharashtra | Ph.D. | University of Calcutta | 2006 | |
| 24 | Ms. Divya Sharma | F | IISER, Mohali | Punjab | Integrated MSc student | Integrated BS-MS | NA | |
| 25 | Mr Sameer Ahmad Gupkari | M | university of kashmir | Jammu and Kashmir | Ph D Scholar | University Of Kashmir | 2003 | |
| 26 | Ms. Yater Tato | F | North Eastern Regional Institute Of Science And Technology | Arunachal Pradesh | PhD | NORTH EASTERN REGIONAL INSTITUTE OF SCIENCE AND TECHNOLOGY |
2012 | |
| Local Participants : | ||||||||
| Serial | Full Name | Gender | Affiliation | State | Position in College/ University | University/ Institute M.Sc./ M.A. | Year of Passing M.Sc./M.A | Ph.D. Deg. |
| 1 | Mr Jatin Trikambhai Majithia | M | IISER, Pune | Maharashtra | Phd Student | pune university | 2012 | |
| 2 | Mr Sameer R Kulkarni | M | IISER, Pune | Maharashtra | Student | IISER Pune | NA | |
| 3 | Mr. Sagar Fakirchand Lokhande | M | IISER, Pune | Maharashtra | Int. MS Student | IISER Pune | Appeared/ Awaiting Result | |
| 4 | Mr Shiva Chidambaram P | M | IISER, Pune | Maharashtra | BS-MS | Indian Institute of Science Education and Research | NA | |
| 5 | Ms Preeti Nigam | F | IISER, Pune | Maharashtra | BS-MS Student | Indian Institute Of Science Education And Research | NA | |
| Resource Persons: | ||||||||
| Serial | Full Name | Affiliation | ||||||
| 1 | Shripad Garge |
IIT Mumbai | ||||||
| 2 | Preena Samuel |
HCU Hyderabad | ||||||
| 3 | Amit Kulshrestha |
IISER Mohali | ||||||
| 4 | Anupam Singh | IISER Pune | ||||||
| 5 | Maneesh Thakur |
ISI Delhi | ||||||
| 6 | Anuradha Garge | University of Mumbai | ||||||
| 7 | K. N. Raghavan |
IMSc Chennai | ||||||
| 8 | Upendra Kulkarni |
CMI Chennai | ||||||
| 9 | Dipendra Prasad |
TIFR Mumbai | ||||||
| 10 | M. S .Raghunathan |
IIT Mumbai | ||||||
| 11 | Pratyusha Chattopadhyay |
ISI Kolkata | ||||||
| 12 | Anuradha Ahuja |
IIT Mumbai | ||||||
| 13 | Anirban Bose | ISI Delhi | ||||||
| 14 | Steven Spallone |
IISER Pune | ||||||
| 15 | B Sury | ISI Bangalore | ||||||
