Representation Theory (2022)

Convener(s)

 
Name: Prof. Amritanshu Prasad Prof. Upendra Kulkarni
Mailing Address: Professor H
The Institute of Mathematical Sciences,
CIT campus, Taramani, Chennai 600113		 Professor
Chennai Mathematical Institute
H1, SIPCOT IT Park, Siruseri
Email:  amri at imsc.res.in  upendra at cmi.ac.in

 

Representation Theory is the study realizations of groups as matrices. Having its origins in algebra and number theory, it is now a vast subject with links to Physics, Harmonic Analysis, Combinatorics, Chemistry, Differential Equations, Complexity Theory, etc.
This workshop will focus on the representation theory of finite groups. Assuming that participants are familiar with groups, rings, and modules, we will develop the basic character theory of representations in characteristic zero. We will also discuss techniques for constructing representations of groups, specially Clifford theory. We will discuss projective representations of finite groups, the Frobenius-Schur index, and end with an introduction to representation theory in positive characteristic.

Dates: 

Monday, June 20, 2022 - 09:00 to Saturday, July 9, 2022 - 18:00

Venue: 

Venue Address: 

Chennai Mathematical Institute
H1, SIPCOT IT Park, Siruseri
Kelambakkam 603103

 

 

Venue State: 

Venue City: 

PIN: 

603103

Chrono Order: 

389

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:
SV: S. Viswanath
SH: Sumana Hatui
UK: Upendra Kulkarni
PS: Pooja Singla
KNR: K N Raghavan
AP: Amritanshu Prasad
DP: Digjoy Paul (TIFR postdoc)
SD: Sadhanandh Vishwanath (CMI postdoc)
HM: Hassain Mailyekkal (IMSc postdoc)

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  

 

 

Selected Applicants: 

 Selected candidates should check their email for further communication from the organisers and fill the required google form to confirm/cancel their participation by Saturday June 11.

Sr. SID Full Name Gender Affiliation Position in College/ University University/ Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A
1 38937 Mr. Utsav Dewan Male Indian Statistical Institute, Kolkata PhD Student Indian Statistical Institute, Kolkata 2020
2 38939 Mr. Promod Sharma Male IIT(BHU) Ph.D Scholar Assam University Silchar 2015
3 38951 Ms Pole Vennela Female Kerala School of Mathematics Integrated Msc-Phd Student Kerala School of Mathematics 2022
4 38996 Mr. Sabyasachi Dhar Male IIT KANPUR PhD IIEST SHIBPUR 2018
5 39017 Mr. Ramkrishna Biswas Male IISER THIRUVANANTHAPURAM BS-MS 4th year Indian Institute of Science Education and Research, Thiruvananthapuram  
6 39051 Mr. Srigyan Nandi Male Indian Statistical Institute, Bangalore B.Math Student    
7 39059 Mr Anshid Aboobacker Male BITS Pilani Hyderabad Campus PhD University of Hyderabad 2020
8 39115 Mr. Shashi Ranjan Sinha Male Indian Institute of Technology Hyderabad PhD Patna University 2020
9 39116 Ms. Sutapa Dey Female IIT, Hyderabad PhD BIT Mesra 2017
10 39131 Ms Divya Setia Female IISER Mohali Int. Phd IISER Mohali 2020
11 39206 Mr. Kesavan M Male Indian Institute of Technology Madras MSc Student Indian Institute of Technology Madras, MSc Mathematics (1st year)  
12 39214 Mr. Sathish Kumar V Male The Institute of Mathematical Sciences Senior Research Fellow Ramanujan Institute for Advanced Study in Mathematics 2018
13 39235 Ms. Sweta Das Female Indian Institute of Technology , Madras M.Sc. student Indian Institute of Technology Madras 2021
14 39290 Ms Km Dimpi Km Dimpi Female IISER Tvm PhD student NIT rourkela 2019
15 39322 Ms. Shubhanshi Gupta Female Institute of Infrastructure,
Technology, Research And Management (IITRAM)		 PhD The Maharaja Sayajirao University of Baroda, Vadodara 2019
16 39345 Mr. Aniruddha Saha Male IIT HYDERABAD PhD UNIVERSITY OF HYDERABAD (HCU) 2018
17 39368 Mr. Bhuva Akshay Manasukhbhai Male IIT-gandhinagar PhD student The maharaja sayajirao university of baroda 2020
18 39404 Ms. Sonakshee Arora Female IIT JAMMU PhD M.Sc 2020
19 39508 Mr. Akhil Surendran Male IIT Gandhinagar PhD CENTRAL UNIVERSITY OF TAMILNADU 2019
20 39534 Mr. Pushpendra Singh Male Indian Institute of Technology Jodhpur PhD Indian Institute of Technology Jodhpur 2020
21 39555 Mr. Ram Karan Choudhary Male Indian Institute of Technology Bhubaneswar, India PhD Lalit Narayan Mithila University Darbhanga, Bihar, India 2019
22 39571 Mr. Aritra Kundu Male Chennai Mathematical Institute B.Sc. Student    
23 39575 Ms. Sulakhana Chowdhury Female IISER TVM PhD Student IISER TVM 2019
24 39656 Ms Harshitha C Female IISER Tirupati PhD IIT Gandhinagar 2018
25 39856 Mr Soumik Ghosh Male Tata Institute of Fundamental Research PhD Student Indian Statistical Institute, Kolkata 2020
26 40015 Mr Kavinesh R Male Indian institute of technology, jodhpur MSc student Indian institute of technology jodhpur Appeared
27 40114 Mr. Siva S Male Amrita Vishwa Vidyapeetham MSc Student Purdue University  
28 40185 Mr. Rahil Miraj Male Indian Statistical Institute, Bangalore Second Year B.Math (Hons.) Student    
29 40190 Ms. Dhashna Thanu Pillai Female Indian Institute Of Technology M.Sc STUDENT IIT Appeared
30 40450 Ms Papi Ray Female IIT Guwahati PhD University of Calcutta 2015
31 40453 Mr. Shrinit Singh Male Shiv Nadar University PhD Student IISER Mohali 2017
32 40526 Mr. Arjun S N Male Cochin University Of Science And Technology Ph.D STUDENT Cochin University of Science and Technology. 2019
33 40539 Mr Sanket Shete Male Indian Institutes of Science Education and Research MS Student Indian Institute of Science Education and Research Bhopal Appeared
34 40548 Mr. Prajwal Samal Male IIT Kanpur BS-MS Student IIT Kanpur, BS-MS Dual Degree Appeared
35 40637 Ms. Vaishalee Yadav Female IISER BS-MS student Indian Institute of Science Education and Research, Tirupati Appeared
36 40639 Mr Vyshnav Pt Male IISER MOHALI Int PhD Student    
37 40668 Mr. Sanyam Gupta Male IISER Berhampur 5th Year BS-MS student Indian Institute of Science Education and Research Berhampur Appeared
38 40699 Mr Rahul Mazumder Male Indian Statistical Institute B.Math Student    
39 40745 Ms. Manika Gupta Female Kerala School of Mathematics MSc Student Kerala School of Mathematics 2022
40 40756 Ms. Divya Aggarwal Female Indraprastha Institute of Information
Technology Delhi		 PhD University of Delhi 2018
  Local participants      
1 39094 Mr. Velmurugan Subramani Male The Institute of Mathematical Sciences PhD University of Madras 2021
2 39636 Mr Sridhar Rajagopal Male VIT University Chennai Research Scholar Madras University D G VAishnav College 2010
3 39713 Mr. Arkadev Ghosh Male Chennai mathematical institute PhD Indian Institute Of Technology,Kharagpur 2020
4 39726 Ms Hepsi D Female Ramanujan Institute for Advanced Study in Mathematics PhD Ramanujan Institute for Advanced Study in Mathematics 2019
5 39727 Mrs Dhilshath S. Female Ramanujan Institute for Advanced Study in Mathematics,University of Madras, Chepauk PhD Ramanujan Institute for Advanced Study in Mathematics, University of Madras. 2008
6 39828 Mr. Khalid Akthar M Male Ramanujan Institute for Advanced Study in Mathematics, University of Madras PhD Ramanujan Institute for Advanced Study in Mathematics, University of Madras 2020
7 39938 Ms. Subiksha Kannan Female Indian Institute of technology Madras MSc student Indian Institute of technology Madras  
8 40052 Mr. Somnath Dake Male Chennai Mathematical Institute PhD CMI 2018
9 40135 Mr. Svatejas Shivakumar Male Indian Institute of Technology Madras Student N/A Appeared
10 40462 Mr. Siddheswar Kundu Male The Institute of Mathematical Sciences PhD student University of Calcutta 2018
11 40607 Mr. N Abhilash Male SRM Institute of Science and Technology PhD Pondicherry university 2017
12 40610 Ms. Sivaranjani N U Female SRM Institute of Science and technology phD Ramanujan Institute Of Advanced Study In Mathematics,University Of Madras 2020
  Wait listed      
1 39537 Ms. Devanshi Rameshbhai Lakhani Female Indian Institute of Technology Gandhinagar PhD Indian Institute of Technology Gandhinagar 2020
2 39557 Mr. Anoot Kumar Yadav Male Indian Institute of Technology Patna PhD Student Ewing Christian College (University of Allahabad) 2018
3 40566 Ms Anju Kumari Yadav Female National Institute Of Technology Rourkela PhD Ravenshaw University 2018
4 40804 Mr Narendra Laishram Male IISER MHALI PHD University of Hyderabad 2021

 

 

How to Reach: 

TBA

School Short Name: 

rt

School Type: 

AIS

Separate faculty form: 

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