ATMW Topology of Manifolds and Group Actions (2017)
Venue:  University of Delhi, Delhi, Delhi 
Date:  9th, Nov 2017 to 22nd, Dec 2017 
Name  Prof. Satya Deo  Dr. Hemant Kumar Singh  Dr. Satya Prakash Tripathi 
Mailing Address  Harish Chandra Research Institute, Chhatnaag Road, Jhusi, Allahabad 211019 
Assistant Professor, Dept. of Mathematics, University of Delhi, Delhi110007 
Associate Professor Dept. of Mathematics, Kirori Mal College, University of Delhi, Delhi110007 
This was an advanced workshop in four different themes in harmonic analysis. First set of lectures by Professor J Faraut focused on orbital measures and spline functions. The action of unitary group on the space of Hermitian matrices can be described in terms of the results of Olshanksii, Okunkov etc and thus involve harmonic analysis on compact Lie groups. Horns theorem describing the projection of an orbit in the space of Hermitian matrices under the action of the unitary group and the orbital measure was explained. Second set of lectures by Professor Linda Saal dealt with generalized Gelfand pairs associated to the Heisenberg group. Spherical analysis associated to these pairs was discussed in detail. Third set of lectures by Professor Shobha Madan and Professor Saurabh Srivastava focused on sparse operators and a proof of the A2 conjecture. Finally, the lectures by Professor Swagato Ray dealt with harmonic analysis on symmetric spaces. In particular, KunzeStein phenomenon and boundedness of convolution operators were established.
Speakers and their affiliations with detailes of lecture
Speakers  Details of lectures delivered 
Dr. Angom Tiken Singh North Eastern Hill University, Shillong 
Lecture1:Topological manifolds, smooth manifolds, manifolds with boundary, smooth maps, 
Dr. Satya P. Tripathi Kirori Mal College, University of Delhi 
Lecture1:Concepts in general topology, examples of topological groups 
Prof Tej B. Singh University of Delhi, Delhi 
Lecture1:Simplicial Complexes, Simplicial Homology and Cohomology. 
Prof S. S. Khare North Eastern Hill University, Shillong 
Lecture1:Derivatives, tangent vectors & tangent space, derivative of a smooth map between two 
Prof Himadri Mukerji North Eastern Hill University, Shillong 
Lecture1:Smooth Lie group action on smooth manifolds, representations, various associated definitions 
Prof Satya Deo HarishChandra Research Institute, Allahabad 
Lecture1:P.A.Smith fixed point theorems their statements and the elementary proof as given by 
Abstract of Special Lectures
Speakers  Details of lectures delivered 
Prof Ajejandro Adem University of British Columbia, Canada http://www.math.ubc.ca/~adem 
Finite Groups from a Topology Perspective Understanding the symmetries of a topological space is a classical problem in mathematics. In this talk we will discuss how methods from algebraic topology can be used to approach this. We will review classical results such as those describing the finite groups that can act without fixed points on a sphere. This will be used as a motivation for the modern notion of "group actions up to homotopy", which leads to interesting interactions between topology, group theory and representation theory. A number of examples will be provided to illustrate this. 
Prof Satya Deo HarishChandra Research Institute, Allahabad http://www.hri.res.in/~sdeo/ 
On Kneser Conjecture 
Prof Parameswaran Sankaran Institute of Mathematical Sciences, Chennai https://www.imsc.res.in/~sankaran/ 
Homeomorphisms of the circle and their rotation numbers 
Time Table
Date  8:459:15  9:159:30  09:3010:00  10:00 11:30  11:30 1:00  1 2:30  2:30 3:30  3:30 4:30  4:30 5:00  
Day1  09/11/17 Thursday  Registration  Inauguration  Tea  Lecture1 SPT1  Lecture2 ATS1  Lunch  Tutorial SPT, JKM  Tutorial ATS, HKS  Tea 
Lecture1  Tea  Lecture2  Lunch  TutorSpecial ial or Lecture  Tea & Snacks  
Date  9:3011:00  11:00 11:30  11:30 1:00  12:30  2:303:30  3:304:30  4:30 5:00  
Day2  10/11/17 Friday  SPT2  T  ATS2  L  SPT, JKM  ATS, HKS  T 
Day3  11/11/17 Saturday  ATS3  E  TBS1  U  SPT, JKM  ATS, HKS  E 
SUNDAY  
Day4  13/11/17 Monday  ATS4  A  TBS2  N  SPT, JKM  ATS, HKS  A 
Day5  14/11/17 Tuesday  SD1  B  SSK1  C  SPT, JKM  ATS, HKS  B 
Day6  15/11/17 Wednesday  SD2  R  SSK2  H  SPT, JKM  ATS, JK  R 
Day7  16/11/17 Thursday  SSK3  E  TBS3  ATS, JK  Special LectureAA  E  
Day8  17/11/17 Friday  SD3  A  SSK4  B  Special LectureSD  ATS, JK  A 
Day9  18/11/17 Saturday  SD4  K  TBS4  R  SPT, JKM  ATS, HKS  K 
SUNDAY  
Day10  20/11/17 Monday  SSK5  HM1  E  JK, JKM  ATS, HKS  
Day11  21/11/17 Tuesday  HM2  HM3  A  JK, JKM  Test/ Assessment  
Day12  22/11/17 Wednesday  SD5  HM4  K  Special LecturePS  Feedback/ Velidictory Function 
AA  :  Alejandro Adem, University of British Columbia, Canada 
SD  :  Satya Deo, HarishChandra Research Institute, Allahabad 
SSK  :  S S Khare, North Eastern Hill University,, Shillong 
HM  :  Himadri Mukerjee, North Eastern Hill University, Shillong 
PS  :  Parmeswaran Sankaran, Institute of Mathematical Sciences, Chennai 
TBS  :  Tej Bahadur Singh, University of Delhi 
ATS  :  Angom Tiken Singh, North Eastern Hill University, Shillong 
JKM  :  Jitendra Kumar Maitra, R D University, Jabalpur 
SPT  :  Satya Prakash Tripathi, Kirori Mal College, University of Delhi 
HKS  :  Hemant Kumar Singh, University of Delhi 
JK  :  Jaspreet Kaur, St. Stephen’s College, University of Delhi 
Actual Participants 
Sr 
SID 
Full Name 
Gender 
Affiliation 
Position in College/ University 
Year of Passing M.Sc./ M.A. 
1 
14872 
Mr. Arijit Mukherjee 
Male 
Hyderabad Central University 
Ph.D. Student 
2014 
2 
14875 
Mr. Debashis Bhowmik 
Male 
IIT Patna 
Ph.D. Student 
2014 
3 
14861 
Mr. Umar Mahammad Khan 
Male 
Aligarh Muslim University 
Ph.D. Student 
2015 
4 
14627 
Ms. Baljinder Kaur 
Female 
Central University of Punjab 
Ph.D. Student 
2013 
5 
14599 
Mr. Sachin Pathak 
Male 
IIT Patna 
Ph.D. Student 
2015 
6 
13598 
Mr. Santu Dey 
Male 
Jadavpur University 
Ph.D. Student 
2012 
7 
13381 
Mr. Pankaj Kumar Singh 
Male 
MNIT, Allahabad 
Ph.D. Student 
2014 
8 
13980 
Mr. Chandan Kumar Mondal 
Male 
The University of Burdwan 
Ph.D. Student 
2015 
9 
14217 
Mr. Sumanjit Sarkar 
Male 
Jadavpur University 
Ph.D. Student 
2014 
10 
13945 
Mr. Pradip Mandal 
Male 
Burdwan University 
Ph.D. Student 
2016 
11 
13965 
Ms. Priyanka Singh 
Female 
Dr. Hari Singh Gour Central University 
Ph.D. Student 
2015 
12 
14817 
Mr. Sk Rabiul Islam 
Male 
IIT Patna 
Ph.D. Student 
2016 
13 
14034 
Ms. Karishma Shravan 
Female 
Tripura University 
Ph.D. Student 
2014 
14 
13339 
Dr. Jitender Singh 
Male 
Gurunanak Dev University 
Assistant Professor 
2002 
15 
14097 
Ms. M Rowthri 
Female 
Sri Sarda College for Women, Fairlanda, Salem 
Ph.D. Student 
2014 
16 
15044 
Dr Saranya Subbaiyan 
Female 
Vignan’s University, Guntur 
Assistant Professor 
2009 
17 
14274 
Mr. Rahul Dutta 
Male 
Tezpur University 
M.Sc. Student 
Awaited 
18 
13494 
Mr. Ajay Raj 
Male 
MS University of Baroda 
M.Sc. Student 
Awaited 
19 
13533 
Mr. Dipen Ganguly 
Male 
University of Calcutta 
M.Sc. Student 
Awaited 
20 
13359 
Mr. Nirmal Kotal 
Male 
IIT Kharagpur 
M.Sc. Student 
Awaited 
21 
13515 
Mr. Manpreet Singh 
Male 
IIT Delhi 
Ph.D Student 
2014 
22 
13372 
Ms. Jyoti Sharma 
Female 
University of Delhi 
Ph.D Student 
2015 
23 
13357 
Ms. Anju Kumari 
Female 
University of Delhi 
M.Phil Student 
2014 
24 
14548 
Ms. Gunjan Singh 
Female 
University of Delhi 
Ph.D Student 

25 
14023 
Mr. Abdul Gaffar Khan 
Male 
University of Delhi 
Ph.D Student 
2016 
26 
13893 
Ms. Aliya Naaz Siddiquis 
Female 
Jamia Millia Islamia 
Ph.D Student 
201 
27 
13347 
Mr. Harshit Mathur 
Male 
University of Delhi 
Ph.D Student 
2013 
28 
13894 
Ms. Pooja Bansal 
Female 
Jamia Millia Islamia 
Ph.D Student 
2014 
29 
14099 
Dr. Majid Ali Choudhary 
Male 
Zakir Husain Delhi College 
Assistant Professor 
2008 
30 
14970 
Mr. Beenu Singh 
Male 
University of Delhi 
PhD 
2015 
31 
14972 
Mr. Sheetal Luthra 
Male 
University of Delhi 
PhD Student 
2015 
32 
14909 
Ms. Barkha Kashyap 
Female 
University of Delhi 
PhD Scholar 
2013 
33 
13578 
Mr. Ankush Goel 
Male 
Kirorimal College 
M.Sc 
2017 
34 
13524 
Mr Tushar Bag 
Male 
IIT Patna 
Ph.D. Student 
2014 
35 
15014 
Mr Abhyendra Prasad 
Male 
IIT Patna 
Ph.D. Student 
2014 
36 
14090 
Ms. Tamilmani Jambu 
Female 
Sri Sarda College for Women, Fairlanda, Salem 
Ph.D. Student 
2014 
37 
14980 
Mr. Puneet Kumar Gupt 
Male 
University of Lucknow 
Ph.D. Student 
2012 
38 
14076 
Ms Nandhini Rajamannan 
Female 
Sri Sarda College for Women, Fairlanda, Salem 
Ph.D. Student 
2014 
How to reach