Groups and Geometry (2023)

Convener(s)

Name: Prof. Krishnendu Gongopadhyay Dr. Pabitra Debnath
Mailing Address: Indian Institute of Science Education and Research (IISER) Mohali,
Sector 81, S.A.S. Nagar, Punjab 140306.		 Assistant Professor,
Department of Mathematics,
St. Xavier’s College (Autonomous), Kolkata
30 Mother Teresa Sarani, Kolkata-700016
West Bengal, India
Email:  krishnendu at iisermohali.ac.in  pabitradebnath at sxccal.edu

Dates: 

Monday, June 5, 2023 - 19:00 to Saturday, June 10, 2023 - 19:00

Venue: 

Venue Address: 

St. Xavier’s College (Autonomous), Kolkata. 30 Mother Teresa Sarani, Kolkata-700016
West Bengal, India

 

Venue State: 

Venue City: 

PIN: 

700016

Chrono Order: 

437

Syllabus: 

 Syllabus:

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

 

Dr. Chandan Maity (CM),

IISER Mohali

 

3

 

Symmetries: Group action, Stabilizer subgroup, transitive group action, Discontinuous group action, Presentation of groups, Free groups.

 

 

 

Dr. Krishnendu Gongopadhyay (KG)

 

 

 

4

 

 

 

 

Euclidean Geometry-I: Euclidean plane, Isometries of the Euclidean plane, Similarity, Subgroups of Euclidean isometries.

 

Hyperbolic Geometry- I

Several models of the hyperbolic space: the upper-half space model and the Poincaré disc model. Isometries of the hyperbolic plane, Classification of isometries, Geodesics.

 

Dr. Soumya Dey (SD), KREA University, Sri City

 

6

 

Surfaces: Covering Spaces of a Topological Space. Fundamental groups. Riemann Surfaces. Uniformization theorem. Classification of surfaces.

 

 

Dr. Kuntal Banerjee (KB),

Presidency University, Kolkata

 

4

 

Euclidean Geometry-II:

 

Triangle group. Regular tessellations of the Euclidean plane. Discontinuous groups of Euclidean motions. Symmetries of regular polyhedron.

 

 

Dr. Abhishek Mukherjee,

Kalna College, Burdwan

 

 

 

3

 

 

Hyperbolic Geometry- II

 

Gauss-Bonnet theorem. Hyperbolic trigonometry. Finite subgroups of the isometry group, Simplicity of the isometry group.

 

Dr. Subhabrata Das (SDA),

Presidency University, Kolkata

 

 

4

 

Fuchsian groups:

Fuchsian groups. Fundamental domains and Dirichlet regions. Poincaré's theorem and groups generated by side-pairing transformations.

 

 

 References:

  1. S. Katok,Fuchsian Groups, Chicago Lectures in Mathematics, University of Chicago Press.
  2.  R. C. Lyndon, Groups and Geometry, London Mathematical Society Lecture Notes Series 101, LMS.
  3. John G. Ratcliffe, Foundation Of Hyperbolic manifolds, Graduate Texts in Mathematics 149, Springer-Verlag, 1994.
    (Lecture notes from the speakers, if available)

 

Time Table: 

 Time-table (with names of speakers and tutors):

Day

Date

Lecture 1

(9.30–10.30)

Tea

(10.35-10.55)

Lecturer 2

(11.00–12.00)

Lecture 3

(12.00–1.00)

Lunch

(1.00 
 to
2.20)

Lecture 4

(2.30-3.30)

Tea

(3.35
to
3.55)

 

(4.00-5:00)

Snacks

(5.00
to
5:30)

 

 

(Speaker’s name)

 

(Speaker’s name)

(Speaker’s name)

 

(Speaker’s name)

 

 

 

Mon

05/06

CM-1

 

SD-1

KG-1

 

KG-2

 

Discussions

 

Tue

06/06

CM-2

 

SD-2

KG-3

 

CM-3

 

Discussions

 

Wed

07/06

KG-4

 

SD-3

KB-1

 

SDA-1

 

Discussions

 

Thu

08/06

AM-1

 

SD-4

KB-2

 

SDA-2

 

Discussions

 

Fri

09/06

AM-2

 

SD-5

KB-3

 

SDA-3

 

Discussions

 

Sat

10/06

AM-3

 

SD-6

KB-4

 

SDA-4

 

Discussions

 

 

 

 

 

 

 

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College/ University Year of Passing M.Sc./ M.A Year of Ph.D
1 47076 Mr. Sashadhar Dutta Male Ramakrishna Mission Vivekananda Centenary College, Rahara Msc student Appeared / Awaiting Result  
2 47155 Dr. Kamlesh Kumar Dubey Male Invertis University Bareilly UP Assoc. Prof. 2002 2006
3 47208 Ms. Monika Paul Female University of Calcutta Senior Research scholar( Ph. D. Continuing) 2015  
4 47233 Dr Akul Rana Male Narajole Raj College Assistant Professor 2001 2012
5 47324 Mr. Abdul Gaffar Male Integral University Assistant Professor 2015  
6 47387 Dr. Mohammad Salman Male Z. A. Islamia P. G. College Assistant Professor 2016 2023
7 47790 Ms Rachna Aggarwal Female University of Delhi PhD student 2011  
8 47895 Mr. Praneel Samanta Male University of Kentucky Faculty Lecturer 2016 2023
9 47897 Mr. Sugata Adhya Male The Bhawanipur Education Society College Assistant Professor 2012  
10 47971 Mr. Subham Jaiswal Male Indian Statistical Institute Msc Student 2022  
11 48092 Mr. Pinaki Ranjan Ghosh Male Pailan College of Management and Technology Assistant Professor 2016  
12 48252 Mr. Sumit Roy Male Indian Statistical Institute, Kolkata Postdoc 2016 2021
13 48280 Mr. Ayan Dutta Male Indian Association For The Cultivation of Science MSc student Appeared  
14 48285 Mr Hasem Ali Male Aliah University Ph.D 2015  
15 48344 Mr. Subham De Male IIT DELHI MSc Student Appeared  
16 48377 Dr. Md Monirul Islam Male Kaliachak College Assistant Professor 2014 2020
17 48214 Mr. Mrinmoy Mandal Male Indian Institute of Technology Kanpur MSc Student Appeared  
18 48262 Dr. Surya Prakash Male CMP Degree College, University of Allahabad Assistant Professor 2015 2021
19 48263 Dr. Ajim Uddin Ansari Male CMP Degree College, University of Allahabad Assistant Professor 2015 2023
20 48467 Mrs. Arti Sahu Gangopadhyay Female Banaras Hindu University PhD Student 2018  
21 48521 Mr. Sumanta Das Male UNIVERSITY OF CALCUTTA PhD student 2015  
22 48555 Mr. Subash Chandra Behera Male INDIAN INSTITUTE OF TECHNOLOGY GOA PhD 2019  
23 48585 Ms. Monika Paul Female Ballygunge Science College, University of Calcutta Senior Research Fellow 2015  
24 48924 Mr. Ram Shankar Chaudhary Male Banaras Hindu University PhD 2018  
25 49040 Dr Santhoshkumar S Male Patrician College of Arts and Science Assistant Professor 2014 2021
26 49069 Ms. Srijani Kar Female Netaji Subhas Chandra Open University Msc student 2020  
27 49072 Mr Neelanjan Mondal Male Indian Institute of Science Education And Research, Mohali PhD 2022  
28 49119 Dr. Ajay Devaraj Male Sacred Heart College Assistant Professor 2009 2015
29 49149 Mr Rahul Mondal Male IISER MOHALI PHD 2021  
30 49200 Mr Soumyadeb Samanta Male IIT Bombay PhD    
31 49250 Mr. Anunoy Chakraborty Male Indian Institute of Science Education and Research, Mohali MS atudent Appeared  
32 49298 Mr. Sudipta Guchhait Male RAMAKRISHNA MISSION VIVEKANANDA CENTENARY COLLEGE MSc Student Appeared  
33 49245 Mr. Lokenath Ganguly Male BETHUNE COLLEGE Asst. Professor 2018  
34   Dr. Sabiruddin Molla Male St. Xavier's College Asst. Professor 2013 2022
35   Dr. Jyotirmoy Pramanik Male Taki Govt. College Asst. Professor 2014 2022
36   Rev.Dr. John borg Male Sacred Heart College Asst. Professor 2009 2019
37   Supriya Paul Male Jaleswar High School,24 Parganas(N) Teacher 2011  
38   Subhadip Banerjee Male IISER BHOPAL BS-MS Students 2022  
39   Dr. Samiran Karmakar Male Bankura Sammilani College, Bankura Asst. Professor 2004 2012
40   Jagannath Biswas Male Lalbaba College, Belurmath Asst. Professor 2009  
41   Dwijendra Nath Bar Male Bejoy Narayan Mahavidyalaya Asst. Professor 2008  
42   Dr. Umar Farooque Mondal Male Behala college Assoc. Prof.    
43   Rana Mondal Male Aliah University PhD student 2014  
44   Giasuddin Box Male Presidency University MSc Stude Persuing  

 

 

How to Reach: 

TBA

School Short Name: 

ggt

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0