Advanced Linear Algebra (2023)

Convener(s)
Name: Prof. V.M. Sholapurkar  Dr. Chandrasheel Bhagwat
Mailing Address: S.P. College, Pune/ Bhaskaracharya Pratishthana, Pune IISER Pune
Email: vmshola at gmail.com cbhagwat at iiserpune.ac.in

Dates: 

Monday, November 27, 2023 - 19:00 to Saturday, December 9, 2023 - 19:00

Venue: 

Venue Address: 

BHASKARACHARYA PRATISHTHANA
56/14, Erandavane, Damle Path,
Off Law College Road, PUNE - 411 004.

Venue State: 

Venue City: 

PIN: 

411004

Syllabus: 

Syllabus:

Sr. Name of the speaker and Affiliation
 Topic of lectures Number of lectures
1 Dr. Supriya Pisolkar
IISER, Pune

Canonical Forms.

  • Eigenvalues and eigenvectors of matrices and linear maps, Diagonalizability.
  • Minimal and characteristic polynomials, Cayley-Hamilton theorem.
  • Jordan and Rational canonical forms over complex numbers.
  
2 Prof. Vinayak Sholapurkar
S.P. College, Pune/ Bhaskaracharya Pratishthana, Pune.		 Inner products and Orthogonality. 
  • Bilinear forms, Symmetric bilinear forms, hermitian forms.
  • Orthogonality, Orthonormal basis, Gram-Schmidt process.
  • Spectral theorem.
  • Basic theory of inner products on real and complex vector spaces.
  • Spectral theorem for hermitian and normal linear maps (finite dimensional case).
  
3 Dr. Chandrasheel Bhagwat  Multilinear Algebra.  
  • Multilinear maps on vector spaces: basic theory and examples.
  • Theory of determinant map as an alternating n-linear form on F^n.
  • Tensor product of vector spaces, symmetric tensors, alternating tensors.
  • Applications to differential forms on euclidean spaces and deRham cohomology.
  
4 Prof. B. Sury
ISI Bangalore		  Quadratic forms and Linear groups.  
  • Quadratic forms: Classification, signature for real quadratic forms.
  • Linear Groups defined preserving quadratic forms: Orthogonal and Unitary groups.
  • Groups SO (3) and SU (2), conjugacy classes and geometry of sphere. 
  

References:

  1. M. Artin, Algebra, Pearson Publications.
  2. Hoffman and Kunze, Linear Algebra, Pearson publications.

Course Associates

  •  Mr. Gahininath Sonawane, S. P. College, Pune.
  •  Dr. Aman Jhinga
  •  Mr. Mandar Khasnis
  •  Mr. Shubham Jaiswal, IISER, Pune.  

 

 Special lecture by  Prof. Dipendra Prasad  Saturday, 9th December 2023.

Time Table: 

 

 

Monday

27/11/23

Tuesday

28/11/23

Wednesday

29/11/23

Thursday

30/11/23

Friday

1/12/23

Saturday

2/12/23

9:30 – 11:00

SP

SP

SP

SP

SP

SP

11:00 –11:30

TEA BREAK

11:30 – 1:00

VS

VS

VS

VS

VS

VS

1:00 – 2:30

LUNCH BREAK

2:30 – 3:30

VS/AJ/SJ

VS/AJ/GS

VS/AJ/GS

VS/AJ/GS

VS/AJ/GS

VS/AJ/GS

3:30 – 4:00

TEA BREAK

4:00 – 5:00

SP/AJ/SJ

SP/AJ/SJ

SP/AJ/SJ

SP/AJ/SJ

SP/AJ/SJ

SP/AJ/SJ

5:00 – 5:30

SNACKS

 

 

Monday

4/12/23

Tuesday

5/12/23

Wednesday

6/12/23

Thursday

7/12/23

Friday

8/12/23

Saturday 9/12/23

9:30 – 11:00

CB

CB

CB

CB

CB

CB

11:00 –11:30

TEA BREAK

11:30 – 1:00

BS

BS

BS

BS

BS

BS

1:00 – 2:30

LUNCH BREAK

2:30 – 3:30

CB/MK/GS

CB/MK/SJ

CB/MK/GS

CB/MK/GS

CB/MK/GS

SL

3:30 – 4:00

TEA BREAK

4:00 – 5:00

BS/MK/SJ

BS/MK/SJ

BS/MK/SJ

BS/MK/SJ

BS/MK/GS

SL

5:00 – 5:30

SNACKS

Abbreviation with name of the speaker

Resource persons:

SP: Supriya Pisolkar
VS: Vinayak Sholapurkar
BS: B. Sury
CB: Chandrasheel Bhagwat

 

Course associates:
AJ: Aman Jhinga
SJ: Shubham Jaiswal
GS: G.L.Sonawane
MK: Mandar Khasnis

SL: Special lecture slot.

 

Selected Applicants: 

Instructions for the candidates are as given below:

  1. Accommodation for the period of IST will be arranged for the outstation participants.
  2. Local hospitality for the period of IST will be provided for all the participants.
  3. Travel expenses will not be reimbursed.
  4. Candidates should report at 9.00 am on 27th November 2023 at Bhaskaracharya Pratishthana.
  5. Address: Bhaskaracharya Pratishthana, 56/14, Erandavane, Damle Path, Off Law College Road, PUNE - 411 004.

 

Sr.n SID Full Name Gender Affiliation Position in College/ University University /Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 50597 Ms. Seema Bano Aluddin Shah Female S.N. patel institute of technology and research centre Bardoli Assistant professor B. K. M. Science College valsad (VNSGU) 2018  
2 50644 Mr. Vijay Kashinath Borawake Male Smt. Kashibai Navale College of Engineering Assistant Professor Tulajaram Chaturchand College Baramati, Pune 2007  
3 50645 Ms Priti Pramod Raut Female New Horizon Institute of Technology and Management Assistant Professor University of Mumbai 2013  
4 50658 Mrs Saee Aditya Joshi Female S.P College PhD student IIT Kanpur 2010  
5 50674 Mr. Tikam Chand Soyal Male Hada Rani Govt. PG College Salumber, Udaipur Asst. Prof. IIT Gandhinagar 2018  
6 50706 Mr. Pankaj Sumersing Patil Male Savitribai Phule Pune University Asst. Prof. Department of Mathematics, SPPU 2012  
7 50716 Ms. Geetali Bhausaheb Bhavar Female Sir Parshurambhau College PhD Student University of Mumbai 2018  
8 50794 Mr. Randhir Singh Male Department of Mathematics,
Savitribai Phule Pune University.		 Ph.D. Student Department of Mathematics, Savitribai Phule Pune University. 2021  
9 50795 Ms. Pooja Prakash Jadhav Female Department of Mathematics,
Savitribai Phule Pune University,
Ganeshkhind, Pune		 Ph.D. Student Department Of Mathematics, Savitribai Phule Pune University, Pune 2021  
10 50802 Prof. Pankaj Mansotra Male GGM science College Jammu Assistant Professor Jammu university 2003 18/03/2010
11 50996 Prof. Vijay Jayantibhai Solanki Male Government Engineering College Bharuch Asst Prof The M. S. Uni. of Baroda 2010  
12 51003 Dr Pragneshkumar Laxmiram Thakkar Male L D College of Engineering Assistant Professor Gujarat University 2004 04/01/2019
13 51037 Dr. Swagat Rameshchnadra Barot Male Government Polytechnic, Valsad Lecturer in Mathematics (GES-II) Department of Mathematics, Sardar Patel University, V. V. Nagar, Gujarat   28/03/2018
14 51052 Mr Peer Abdul Manan Male NIT Srinagar Phd University Of Kashmir 2016  
15 51059 Dr. Dushyantkumar G. Patel Male Government Polytechnic, Ahmedabad Lecturer in Mathematics Maharaja Sayajirao University, Vadodara 2004 04/12/2015
16 51065 Mr. Subhash Ashok Darkunde Male Abasaheb Garware College Pune Assistant professor Sir Parshurambhau college pune 2019  
17 51088 Mr Kailas Vasant Chavan Male Bhaskaracharya Pratishthana, Pune Assistant Professor Savitribai Phule Pune University 2020  
18 51153 Dr. Sunil Kumar Sharma Male Sidharth Govt College Nadaun Assistant Professor University of jammu 2004 26/05/2010
19 51284 Dr. Duvvuri Ravi Kiran Male Shri Vishnu Engineering College for Women Professor Sri Sathya Sai Institute of Higher Learning, Prasanthi Nilayam 1998 10/03/2016
20 51309 Dr. Shiv Kant Tiwari Male Lukhdhirji Engineering College, Morbi, Gujarat Assistant Professor M.Sc. 2008 30/07/2014
21 51478 Mr. Manoj Dhake Male Research Student Department of Mathematics, Savitribai Phule Pune University , Pune Ph.D. SPPU 2018 13/11/2021
22 51492 Ms. Aishwarya Suryakant Dabhole Female MES Abasaheb Garware College, Pune Asst. Prof. (CHB) MES Abasaheb Garware College, Pune 2023  
23 51498 Ms. Sakshi Ajit Jain Female Savitribai Phule Pune University PhD student School of Mathematical Sciences, KBC NMU, Jalgaon (M.H) 2022  
24 51603 Dr. Satyendra Kumar Male Government P. G. College, Chunar, Mirzapur, U.P., Pin- 231304 Assistant Professor D. D. U. Gorakhpur University, Gorakhapur 2008 16/01/2019
25 51956 Mr Yogesh Balasaheb Khemnar Male Savitribai Phule Pune University Assistant Professor Department of Mathematics ,Savitribai Phule Pune University Pune 2020  
26 52200 Ms. Dimple Rani Female Panjab University Ph.D. Department of Mathematics, Panjab University, CHANDIGARH. 2019  
27 52642 Ms Lakshmi Priya K Female Amrita Vishwa Vidyapeetham, Kochi Faculty Associate Amrita Vishwa Vidyapeetham 2017  
28 52749 Mr. Ketan Ashok Sutar Male S. P. College Pune Asst. Prof. Savitribai Phule Pune University 2017  
29 52763 Mr. Dharmesh D. Patel Male Government Engineering College Assistant Professor SP University, Vallabh Vidhyanagar   26/04/2019
30 52767 Mr. Bhavesh Chandrakantbhai Pathak Male Government Engineering College,Bharuch Assistant Professor 7.3 2011  
31 52826 Mr Rovan Jonathan Vaz Male Parvatibai Chowgule College Asst Prof Dept of Maths, University of Pune 2014  
32 52847 Mr. Rahul Arora Male Sri Guru Teg Bahadur Khalsa College Assistant Professor (Guest) S.C.D GOVERNMENT COLLEGE 2008  

 

 

 

 

 

 

How to Reach: 

Click the following link for more information: https://www.bprim.org/how-to-reach

 

School Short Name: 

ala

Last Date Application: 

Sunday, May 28, 2023

School Type: 

IST

Separate faculty form: 

0