TEW Linear Algebra, Group Theory and Enumerative Combinatorics (2018)

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Venue: Shri Ramdeobaba College of Engineering and Management,  Nagpur, Maharashtra
Date:  23rd, Dec 2018 to 28th, Dec 2018

 

School Convener(s)

Name Prof. Sudhir Ghorpade Prof. Ranjit Ghumde Prof. S.D. Mohagaonkar
Mailing Address

Department of Mathematics,
IIT Bombay, Mumbai

SR. College of Engg. & Management,
Nagpur

SR. College of Engg. & Management,
Nagpur

 


 Speakers with their affiliations:

Name of the speaker

Position

Affiliation

Sudhir Ghorpade Professor IIT Bombay
Jugal Verma Professor IIT Bombay
Ananthnarayan Hariharan Professor IIT Bombay
Samrith Ram Professor IIIT Delhi
Dr.Jyoti Singh Professor VNIT Nagpur

 


 Syllabus:  

The topics covered:

  • Prof. Sudhir Ghorpade:

    • Enumerative Combinatorics: Basic methods (pigeonhole principle and mathematical induction) with many combinatorial applications. Permutations, binomial coefficients, multisets. Binomial theorem and related identities. Compositions, integer partitions, set partitions, Stirling numbers.

    • Linear Algebra: Positive matrics, Structure of orthogonal matrices.

  • Prof.Jugal Verma:

    • Linear Algebra: Review of Eigenvalues and eigenvectors, Spectral theorem for normal operators, Singular value decomposition.

  • Prof. Anantnarayan Hariharan:

    • Group Theory: Equivalences and partitions, basic definitions, isomorphisms of groups.Examples of groups, including cyclic, dihedral, and permutation groups, groups of automorphisms of field extensions, free group on 2 generators. Subgroups, and the induced equivalence relations, quotient groups.Group actions, the orbit-stabilizer formula, and class equation.The theorems of Lagrange, Cayley, Cauchy and Sylow theorem using group actions.

  • Prof.Samrith Ram:

    • Enumerative Combinatorics :Set partitions, Stirling numbers, Cycles in permutations and permutations with restricted cycle structure. Principle of inclusion and exclusion, Sieve methods. Generating functions (including ordinary and exponential generating functions), Recurrence relations.

      Linear Algebra: Review of Inner product spaces, self adjoint operator, spectral Theorem.


 Time Table

 

Day

Date

Lec 1

09.45
to
11.15

Tea

11.15
to
11.30

Lec 2

11.30
to
13.00

Lunch

13.00
to
14.00

Lec 3

14.00
to
15.30

Tea

15.30
to
15.45

Discussion / Tutorial

15.45
to
17.15

Snacks

17.15

Sun

23/12

JKV

 

SRG

 

JKV

 

JKV + JS

 

Mon

24/12

JKV

 

SRG

 

AH

 

JKV + JS

 

Tue

25/12

JKV

 

SRG

 

AH

 

SRG + AH

 

Wed

26/12

AH

 

SRG (LA)

 

AH

 

AH + JS

 

Thu

27/12

SR (LA)

 

AH

 

SR

 

SR + JS

 

Fri

28/12

SR

 

AH

 

SR

 

SR + AH

 

 


List of actual Participants

 

Sr SID Full Name Gender Affiliation Position in College/ University University /Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Deg
Date
1 21713 Yogesh Rokade Male New Arts, Commerce & Science college shevgaon, Dist- Ahmednagar 414502 Asst. Prof. SPPU, Pune 2010  
2 21786 Mr Praveen Kumar Male R.T.M Nagpur University, Nagpur PhD Student R.T.M Nagpur University, Nagpur 2013  
3 21822 Dr Juhi Hiresh Rai Female Shri Ramdeobaba college of Engineering and Management Asst. Prof. Nagpur university Campus/MSc   4/17/2018
4 21828 Dr. Seema Shamrao Khekare Female G H Raisoni Institute of Engineering and Technology Asst. Prof. RTMNU, Nagpur 2005 1/1/2018
5 22302 Mr. Atish Mulchand Gour Male St. Vincent Pallotti of Engineering & Technology, Nagpur Asst. Prof. Nagpur University, Nagpur 2013  
6 22477 Ms. Vrushali Kailash Pakhidde Female Visvesvaraya National Institute Of Technology MSc STUDENT Visvesvaraya National Institute Of Technology Appeared  
7 22523 Ms. Shubhada Ramesh Kosurkar Female V.N.I.T. MSc V.N.I.T. Nagpur Appeared  
8 22600 Mr. Sanjay Madhukarrao Deshpande Male Bhawabhiti Mahavidyalaya, Amgaon, Dist gondia Asso. Prof. Amravati University, Amravati 1986  
9 22675 Dr. Sujatha Janardhan Female St. Francis De Sales College Asst. Prof. Lady Doak College, Madurai 1989 12/30/2008
10 22688 Asso.Prof. Sanjay Baburao Sarwe Male St. Francis De Sales College, Nagpur. Affiliated to RTM Nagpur University, Nagpur Asst. Prof. Nagpur University, Nagpur 1988 12/29/2007
11 22707 Mr Kiran Virivinti Male Department Of Mathematics Asst. Prof. OSMANIA UNIVERSITY 2002 5/31/2016
12 22857 Mr. Jervin Zen Lobo Male St. Xavier's College Asst. Prof. Goa University 2012  
13 22874 Mr Akshaykumar Jagdishrao Meshram Male Yeshwantrao Chavan College of Engineering Asst. Prof. Rashtrasant Tukadoji Maharaj Nagpur University 2012  
14 22906 Mr. Rohit Madhukar Patne Male Jd College Of Engineering Asst. Prof. IIT Guwahati 2013 1/14/2016
15 22953 Mr Nitin Nishantsingh Chandel Male Priyadarshini Institute of Engineering and Technology, Nagpur Asst. Prof. RTMNU NAGPUR 2005  
16 23051 Mr. Gulshan Omprakash Makkad Male Jhulelal Institute of Technology Asst. Prof. PGTD Campus, RTM Nagpur University, Nagpur 2006  
17 23058 Mr. Prashant Vithobaji Nimje Male Shri Mathuradas Mohota College of science Asst. Prof. Rtm nagpur university 2015  
18 23153 Mr. Pravin Purushottam Sayare Male Govt. Institute of Science, Nagpur Asst. Prof. M.Sc. 2010  
19 23154 Mr. Uday Sajjan Thool Male Govt. Institute of Science Nagpur Asst. Prof. RTM NAGPUR UNIVERSITY 1988 7/27/2008
20 23210 Dr Ujwal Sureshrao Warbhe Male Bajaj Institute of Technology Asst. Prof. Nagpur University 2012 11/20/2017
21 23270 Ms Priyanka Suresh Aware Female Visvesvaraya national institute of technology nagpur MSc student Visvesvaraya national institute of technology Nagpur Appeared / Awaiting Result  
22 23272 Ms. Shobha Yadav Female Govt. College Jatauli Haily Mandi Gurugram Asst. Prof. IIT Delhi 2013 11/1/2016
23 23275 Dr. Kirti Santos Kumar Sahu Female St. Vincent Pallotti College of Engineering and Technology Asst. Prof. Nagpur University, Nagpur 2006 10/30/2014
24 23304 Dr. Rishi Krishnakumar Agrawal Male Hislop College Asst. Prof. Nagpur University 1996 5/9/2018
25 23392 Dr. Prafulla Onkarji Bagde Male RCOEM, Nagpur Asst. Prof. M.Sc. 2007 10/17/2017
26 23420 Mr Asfar Hasan Siddiqui Male yeswantrao chavan college of engineering. Asst.Prof RTMNU 2009  
27 23428 Ms. Aarti Keshorao Patle Female Visvesvaraya National Institute of Technology, Nagpur PhD Visvesvaraya National Institute of Technology, Nagpur 2014  
28 - Dyuti Roy   IISER Thiruvanathapuram Phd      
29 - Prasanna Kulkarni   Ramdeobaba college of Engineering and Management Nagpur Asst. Prof.      
30 - Shailesh Goregaonkar   Meghnad Desai Academy Of Economics, Mumbai Visiting Faculty      
31 - Mrs.Manjusha Patne   Ramdeobaba college of Engineering and Management Nagpur Asst. Prof.      
32 - Mrs.Prachi Saoji   Ramdeobaba college of Engineering and Management Nagpur Asst. Prof.      

 


How to reach

How to reach:
 
The city of Nagpur is located in the center of India and is well connected by road, rail and air with all the major towns in India.
 
The Institute Ramdeobaba College of Engineering is located at Ramdeo Tekadi, Gittikhadan, Katol Road, Nagpur. Here is the Google map location of the college: https://goo.gl/maps/CxeXYYAM27D2
 
Railway station:
 
The college is 6 Kms away from Nagpur railway Station. This station has two gates namely `Santra Market gate' and `Main gate'. The Main gate is on Platform no. 1.  Outside the main gate, prepaid auto rickshaw service is available . It will cost you about Rs. 100. Private taxi services of Uber and Ola are also available in Nagpur.
 
Airport:
 
The college is about 13 km from Dr. Babasaheb Ambedkar airport of Nagpur. Uber and OlA taxi services are available at the airport. It takes about 45 mins to reach the college in peak hours.

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