Linear Algebra and Matrix Groups

Convener(s)

 
Name: Prof. Amit Maji Prof. Arunava Mandal
Mailing
Address:		 Assistant Professor
Department of Mathematics
Indian Institute of Technology Roorkee
Roorkee-247 667, Uttarakhand, India		 Assistant Professor
Department of Mathematics
Indian Institute of Technology Roorkee
Roorkee-247 667, Uttarakhand, India
Email: amit.maji at ma.iitr.ac.in arunava at ma.iitr.ac.in

TEWs are meant only for the local teachers and therefore no travel and other hospitalities will be provided to the outstation participants.

The Teacher Enrichment Workshop is an outreach activity of the National Centre for Mathematics, which is beneficial for the teachers at college level. This workshop aims at highlighting connections between Linear Algebra and linear groups. Mathematics teachers from the colleges in the vicinity of Roorkee, Delhi will be introduced with some interesting aspects of Linear Algebra and linear groups. It may be noted that the accommodation will not be provided to the participants.

Dates: 

Monday, December 2, 2024 - 19:00 to Saturday, December 7, 2024 - 19:00

Venue: 

Venue Address: 

Department of Mathematics
Indian Institute of Technology Roorkee
Roorkee-247 667, Uttarakhand, India

 

 

Venue State: 

Venue City: 

PIN: 

247667

Syllabus: 

Speakers and Tutors

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

Prof. Amit Maji
(IIT Roorkee)

6

Vector spaces, bases, dimension, isomorphism, dual spaces, reflexivity, annihilators, direct sum, quotient space, tensor product, multilinear forms, alternating forms

Prof. Arunava Mandal
(IIT Roorkee)

6

Linear transformations, matrices, invariance, projection, change of basis, similarity, rank and nullity, diagonalization, nilpotency, Jordan form

 

Prof. Pranab Sardar
(IISER Mohali)

6

Inner product spaces, Gram-Schmidt procedure, operators on inner product spaces: normal operator, self-adjoint operator, spectral theorems, singular value decomposition.

Prof. S G Dani
(Centre for Excellence in Basic Sciences, Mumbai)

6

Various groups of matrices: orthogonal, unitary and symplectic groups; exponential mapping on matrix groups. various decomposition of these matrix groups, and its applications.

*A special lecture by Prof.Maheshanand.

 References:

1.   P. Halmos, Finite Dimensional Vector Spaces, Springer. 1974.
2.   K. Hoffman and R. Kunze, Linear Algebra, 2nd Edition, Prentice Hall of India. 2015.
3.   A. Baker, Matrix Groups: an introduction to Lie group theory, Springer, 2002.

 

Time Table: 

 

Day

Date

Lecture 1

(9.30
to
10.30)

Tea

(10.35 to
10.55)

Lecturer 2

(11.00
to
12.00)

Lecture 3

(12.00
to
1.00)

Lunch

(1.00 to
2.20)

Lecture 4

(2.30
to
3.30)

Tea

(3.35  to
3.55)

Discussion

(4.00
to
500)

Snacks

(5.05 to
5.30)

 

 

(Speaker’s name)

 

(Speaker’s name)

(Speaker’s name)

 

(Speaker’s name)

 

(Tutor’s name)

 

Mon

2nd Dec

AM

 

AM

ArM

 

ArM

 

AM+Javed +Prateek

 

Tue

3rd Dec

AM

 

AM

ArM

 

ArM

 

AM+Javed +Prateek

 

Wed

4th Dec

AM

 

AM

ArM

 

ArM

 

Maheshanand

 

Thu

5th Dec

PS

 

PS

SGD

 

SGD

 

PS+ArM+

Arindam

 

Fri

6th Dec

PS

 

PS

SGD

 

SGD

 

PS+ArM+

Arindam

 

Sat

7th Dec

PS

 

PS

SGD

 

SGD

 

SGD+ArM+

Arindam

 

  • AM= Amit Maji; ArM= Arunava Mandal;  PS= Pranab Sardar;  SGD= S. G. Dani

Name of the tutors :

S. No.

Name

Affiliation

1

Mo Javed

IIT Roorkee

2

Prateek

IIT Roorkee

3

Arindam Jana

IISER Berhampur

Selected Applicants: 

 

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 58697 Mr. Sainath Namdeo Ghosalkar Male St. Francis Institute of Technology, Borivali, Mumbai Assistant Professor University of Mumbai / Kalina/ M.Sc 2012  
2 58704 Dr. Abdul Gaffar Male Shibli National College, affiliated to Maharaja Suhel Dev State University (MSDSU) Assistant Professor University of Lucknow / M.Sc. 2015 06/12/2023
3 58827 Dr. Summiya Parveen Female COER University ,7th, KM Haridwar, National Highway Vardhmanpuram, Roorkee, Rehmadpur, Uttarakhand 247667 Assistant Professor M.Sc. 2005 26/03/2012
4 58896 Mr Anish Kumar Male IIT Bhilai Research Associate   2018 21/02/2024
5 58932 Dr. Rajasekar S P Male Government Arts College for Women, Nilakottai Associate Professor Pondicherry University 2004 30/09/2020
6 58958 Mr. Sukhwinder Singh Rawat Male Doon University PhD Student Hemvati Nandan Bahuguna Garhwal University 2018  
7 59181 Dr. Tathagata Banerjee Male Cochin University of Science and Technology, Kochi Assistant Professor Ramakrishna Mission Vivekananda University 2010 23/11/2016
8 59439 Mr. Pranab Jyoti Hazarika Male Gauhati University PhD Tezpur University 2020  
9 59568 Mr. Viraj Ashokbhai Vora Male Dhirubhai Ambani Institute of information and communication Technology PhD The Maharaja Sayajirao University of Baroda 2023  
10 59690 Ms. Nahida Majeed Wani Female Amity University Gwalior PhD MSc 2018  
11 59829 Mr. Dipesh Meena Male Central University Of Rajasthan M.Sc. B.ED. MATHEMATICS Student Central University of Rajasthan Appeared / Awaiting Result  
12 60132 Ms. S. Vaira Lakshmi Female Ph.D. Ph. D. Sri Paramakalyani college, Alwarkurichi. 2020  
13 60570 Ms Rakhi Pote Female Bharatesh Institute of Technology Assistant Professor Rani Channamma University, Belagavi 2012  
14 60609 Dr. V B Kiran Kumar Male Cochin University of Science And Technology Assistant Professor CUSAT 2008 21/03/2013
15 60620 Dr Tarun Kumar Gupta Male CHAMAN LAL MAHAVIDHYALAYA Sr. Assistant Professor Gurukul Kangri University, Haridwar 2007 23/07/2016
16 60636 Ms. Aaisha Be Female National Institute of Technology Raipur PhD University of Delhi 2018  
17 60638 Mr. Tikesh Verma Male National Institute of Technology Raipur PhD student Pt. Ravishankar shukla university Raipur 2022  
18 60660 Dr. Ajay Kumar Male Shaheed Srimati Hansa Dhanai Rajkiya Mahavidyalaya, Agrora (Dharmandal), Tehri Garhwal, Uttarakhand Assistant Professor Gurukula Kangri Vishwavidyalaya, Haridwar 2007 06/04/2013
19 60666 Mr. Manish Navnitlal Patel Male GOVERNMENT POLYTECHNIC,GODHRA LECTURER IN MATHEMATICS MAHARAJA SAYAJIRAO UNIVERSITY,VADODARA,GUJARAT 2003  
20 60671 Dr. Mohammad Aamir Qayyoom Male Integral University Lucknow Assistant Professor Chhatrapati Shahu Ji Maharaj University Kanpur/ M.Sc 2013 21/06/2022
21 60695 Dr. Pratibha Tyagi Female Parul University, Vadodara, Gujarat Associate Professor Chaudhary Charan Singh University, Meerut, UP 2011 21/12/2019
22 60704 Dr. Sheere Farhat Ansari Female Integral University, Lucknow Assistant Professor M.Sc 2011 03/01/2022
23 60710 Mr Naman Kumawat Male Central University of Rajasthan Int. M.Sc. B.Ed. Student Central University Of Rajasthan Appeared / Awaiting Result  
24 60718 Mr. Vikendra Singh Male JDMC Asst. Prof. SAU 2015  
25 60756 Ms. Anita Rani Devgan Female CEC - CGC, Landran, Mohali Asst. Professor PU Chandigarh 2008  
26 60808 Mr. Gunajyoti Saharia Male North Eastern Hill University PhD Student Tezpur University 2021  
27 60852 Mr. Dinesh Indrajmal Kumawat Male Kirti M. Doongursee College (Autonomous), Dadar, Mumbai Assistant Professor University of Mumbai 2019  
28 60951 Mr. Manish Saini Male NIT Hamirpur Research Scholar IIT Jodhpur 2020  
29 61033 Dr. Gayatri Maharana Female SOA University Assistant Professor Fakir Mohan University 2012 07/11/2023
30 61068 Dr Amit Sehgal Male Pt NRS Government College Rohtak Associate professor Iit kgp 2005 21/11/2017
Waitlisted candidate
1 60867 Mr Anirban Banerjee Male IIT DELHI Msc student IIT DELHI Appeared / Awaiting Result  
2 59415 Mr. Deepak Jangir Male Ramjas College, Delhi University Class Representative Not Appeared Yrr    
3 59316 Ms. Arti Yadav Female Govt. Tilak PG College, Katni, Madhya Pradesh M.Sc. Mathematics Student Govt. PG Tilak College Katni Madhya Pradesh Appeared / Awaiting Result  
4 60762 Mr. Atul Singla Male Indian Institute of Science Education and Research (IISER), Bhopal M.Sc. Student Department of Mathematics, IISERB    
5 61021 Ms. Vaishnavi K Kumar Female Anna university M.sc Anna university 2019  
6 61003 Mr Mohammad Asif Ali Male Iit roorkee Phd scholar Deen Dayal Upadhyay Gorakhpur University Gorakhpur, uttar pradesh 2020  
7 60834 Mr. Sachin Paramanik Male IIT Roorkee PhD IISER TVM 2023  
8 60942 Ms. Kritika Kritika Female Indian Institute of Technology Roorkee PhD student Indian Institute of Technology Delhi 2022  
9 61123 Mr Bishal Biswas Male IIT Roorkee Phd IIT Patna 2021  
10 59500 Ms. Mansi Goyal Female IIT Roorkee PhD IIT Patna 2019  

 

 

 

 

 

How to Reach: 

TBA

School Short Name: 

lamg

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0