Linear algebraic groups (2019)

Convener(s)

 
Name: Prof. Shripad M. Garge Prof. Dipendra Prasad
Mailing Address: Department of Mathematics,
IIT Bombay, Powai.
Mumbai. 400 076.

Department of Mathematics,
IIT Bombay, Powai.
Mumbai. 400 076.
Email:  shripad at math.iitb.ac.in  prasad.dipendra at gmail.com

Please Note:  Participants have to arrange for their own travel.

 

Linear algebraic groups are one of the basic objects for higher research these days. Any student aspiring to do research in algebraic geometry, representation theory or even number theory needs to have a fair amount of knowledge in linear algebraic groups. This AIS is aimed at training second and third-year graduate students in the basics of linear algebraic groups. More precisely, we will start with basic definitions and try to complete the classification of reductive groups over the field of complex numbers. Active researchers in other areas are also welcome to attend this programme. We will assume the knowledge of (affine or projective) varieties and morphisms over the field of complex numbers but will also brush over them quickly in a series of tutorials.

Dates: 

Monday, June 24, 2019 - 09:00 to Saturday, July 13, 2019 - 18:15

Venue: 

Venue Address: 

Department of Mathematics, IIT Bombay, Mumbai

Venue State: 

Venue City: 

PIN: 

400076

Chrono Order: 

315

Syllabus: 

  Name of the
Speaker with
affiliation		 No. of
Lectures		 Detailed Syllabus
SMG Shripad M. Garge,
IIT Bombay		 2 Introduction to the subject
AKS Anupam Kumar Singh,
IISER Pune		 3 Basic theory of linear algebraic groups
PS Preena Samuel,
IIT Kanpur		 3 Commutative linear algebraic groups
UK Upendra Kulkarni,
CMI Chennai		 4 Lie algebras
SRG Sudarshan Gurjar,
IIT Bombay		 4 Topological properties of the linear algebraic groups
SB Saurav Bhaumik,
IIT Bombay		 4 Solvable algebraic groups, Borel and parabolic subgroups
AKS Amit Kulshreshtha,
IISER Mohali		 4 Root systems
KNR K. N. Raghavan,
IMSc Chennai		 5 Reductive groups
BS B. Sury,
ISI Bengaluru		 4 Isomorphism theorem
MSR M. S. Raghunathan,
CEBS, Mumbai		 2 Existence theorem

References​ :
T. A. Springer, Linear algebraic groups, second edition, ​ Birkhäuser, 1998.


Tutorial Assistants​:

S.No. Name Affiliation
1 Anuradha Nebhani CEBS, Mumbai
2 Dilpreet Kaur IISER Pune
3 Anirban Bose IISER Mohali
4 Abhay Soman IISER Mohali
5 Shiv Prakash Patel IIT Delhi
6 M. Radhika TIFR, Mumbai

 

 

Time Table: 

 

    Lecture   Lecture   Tutorial   Guest Lecture
9:30--11:00   11:30--13:00   14:30--16:30   17:00
M 24/6 SMG
TEA
 AKS
LUNCH
 smg
TEA
  
Tu 25/6 AKS PS aks  
W 26/6 AKS UK ps  
Th 27/6 PS UK aks  
F 28/6 PS UK uk  
Sa 29/6 UK SMG uk  
Sunday
M 1/7 SRG
TEA
 SB
LUNCH
 srg
TEA
  
Tu 2/7 SRG SB sb  
W 3/7 SB AK ak  
Th 4/7 SRG AK srg  
F 5/7 SRG AK sb  
Sa 6/7 SB AK ak  
Sunday
M 8/7 KNR
TEA
 BS
LUNCH
 knr
TEA
  
Tu 9/7 KNR BS bs  
W 10/7 KNR BS knr  
Th 11/7 KNR BS bs  
F 12/7 KNR MSR msr  
Sa 13/7 MSR      

 

MG Shripad M. Garge smg Shripad, Anuradha, Dilpreet
AKS Anupam Kumar Singh aks Anupam, Anuradha, Dilpreet
PS Preena Samuel ps Preena, Dilpreet, Radhika
UK Upendra Kulkarni uk Upendra, Anuradha, Radhika
SRG Sudarshan Gurjar srg Sudarshan, Anirban, Abhay
SB Saurav Bhaumik sb Saurav, Anirban, Abhay
AK Amit Kulshrestha ak Amit, Anirban, Shiv
KNR K. N. Raghavan knr Raghavan, Abhay, Shiv
BS B. Sury bs Sury, Shripad, Shiv
MSR M. S. Raghunathan msr Raghunathan, Shripad, Anupam

Selected Applicants: 

It is a pleasure to acknowledge the overwhelming response to this AIS! Thank you!

Serial SID Full Name Affiliation Position in College/University Confirmation Status
1 24925 Mr. Arindam Das Bits Pilani Goa Campus PhD Student Not confirmed
2 25020 Mr. Makarand Sanjay Sarnobat Indian Institute of Science Education and Research PhD student confirmed
3 25034 Mr. Suraj Dash Indian Statistical Institute BMATH(HONS) Final Year Student Not confirmed
4 25037 Mr. Sushil Bhunia IISER Mohali Post Doctoral Fellow confirmed
5 25065 Mr. Chandramouli Chakraborty Indian Institute of Technology Madras PhD confirmed
6 25094 Ms. Parul Keshari Harish Chandra Research Institute PhD Student confirmed
7 25095 Mr. Saikat Panja Indian Institute of Science Education and Research Pune PhD confirmed
8 25157 Mr Sagar Shrivastava Tata Institute of Fundamental Research PhD confirmed
9 25217 Mr. Ipsit Chopra Indian Statistical Institute MSc Student confirmed
10 25227 Mr. Sanjeev Kumar Pandey IISER, Tirupati PhD confirmed
11 25234 Ms Shushma Rani IISER Mohali PhD confirmed
12 25237 Dr Uday Bhaskar Sharma IISER Pune Post Doc confirmed
13 25301 Ms. Amrutha P IISER TVM PhD Student confirmed
14 25371 Dr. Shameek Paul RKMV Research Institute Assistant Professor confirmed
15 25436 Mr. Rahul Kaushik Harish Chandra Research Institute PhD confirmed
16 25499 Ms Ursashi Roy IISER Mohali PhD Not confirmed
17 25513 Mr. Soham Mondal IIT Madras PH.D confirmed
18 25657 Mr. Utsav Dewan Indian Statistical Institute, Kolkata MMath Student confirmed
19 26059 Mr. Vignesh S Indian Statistical Institute M Math Student confirmed
20 26067 Ms. Divya Maneesha Ampagouni Indian Statistical Institute, Bangalore MSc Student confirmed
21 26080 Mr. Arunkumar Ganesan Indian Institute of Science Education and Research. Post Doctoral Fellow confirmed
22 26083 Mr Pinakinath Saha Chennai Mathematical Institute Ph.D. confirmed
23 26140 Mr. Somnath Dake Chennai Mathematical Institute PhD confirmed
24 26197 Dr. Tushar Kanta Naik IISER Mohali Post-Doctoral Fellow confirmed
25 26237 Mr. Sathish Kumar V Institute of Mathematical Sciences Junior Research Fellow confirmed
26 26242 Mr Leonardo Roa Leguizamon Universidad Autonoma de Zacatecas
FORDECYT Project		 Postdoctoral researcher Withdrawn
27 26245 Mr. Ritankar Nath Tata Institute of Fundamental Research, Mumbai Integrated PhD confirmed
28 26252 Ms. Oorna Mitra IMSc PhD confirmed
29 26262 Mr Mihir Naik BITS Pilani, KK Birla Goa Campus Integrated MSc Student confirmed
30 26297 Mr. Aishik Chattopadhyay Chennai Mathematical Institute Phd confirmed
31 26314 Ms. Neha Malik Indian Institute of Science Education and Research (IISER), Pune Integrated PhD student confirmed
32 26328 Mr. Rijubrata Kundu Indian Institute of Science and Education Research (IISER) PhD confirmed
33 26384 Ms Namrata Arvind IISER Pune PhD confirmed
34 26389 Ms. Sudipa Mondal IISER PUNE PhD confirmed
35 26434 Ms. Raneeta Dutta IISER Bhopal Project JRF confirmed
36 26471 Mr. Philip Koppara Thomas Indian Institute of Science, Bangalore BSc(Research) student confirmed
37 26490 Mr. Samiron Sadhukhan TIFR, Mumbai MSc student confirmed
38 26491 Ms. Pranjal Pandurang Warade Indian Institute of Science, Bangalore UG Student confirmed
39 26503 Pdf Arunava Mandal Indian Statistical Institute, Delhi center. PDF confirmed
40 26536 Mr. Rohit Suhas Joshi Bhaskaracharya Pratishthan, Pune Post doc student confirmed
41 26562 Mr Soumik Ghosh Indian Statistical Institute Student confirmed
42 26635 Mr. Ayush Jaiswal Indian Institute of Technology, Gandhinagar Research Scholar confirmed
43 26677 Dr. Charu Goel Indian Institute of Information Technology Nagpur Assistant Professor confirmed
44 26679 Mr Krishna Teja Gv Indian Institute of Science, Bangalore PhD Student confirmed
45 26730 Mr. Kartik Roy IISER Pune PhD confirmed
  Local  Participants
1 26073 Mr. Buddhadev Hajra IIT Bombay PhD confirmed
2 26075 Mr Dibyendu Mondal IIT Bombay PhD confirmed
3 26144 Mr. Shashank Vikram Singh IIT BOMBAY M.Sc-PhD Dual Degree confirmed
4 26367 Ms. Archita Mondal IIT BOMBAY PhD confirmed
5 26493 Mr Priyabrata Mandal IIT BOMBAY PhD confirmed
6 26634 Mr Arghya Pramanik IIT Bombay phd confirmed

 

 

How to Reach: 

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School Short Name: 

lag

Last Date Application: 

Sunday, December 2, 2018

School Type: 

AIS