AIS - Riemannian Geometry (2019)

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Venue:

Indian Institute of Science Bangalore,  Bengaluru, Karnataka

Date: 

8th, Jul 2019 to 20th, Jul 2019

 

School Convener(s)

Name Subhojoy Gupta Mahan Mj
Mailing Address Dept. of Mathematics,
Indian Institute of Science, Bangalore 560012
School of Mathematics, Tata Institute of Fundamental Research,
Mumbai 400005

 


 

List of the actual tutors :

Name of the tutor

Position

Affiliation 

 

Sahil Gehlawat

PhD Student

Department of Mathematics
Indian Institute of Science
Bangalore 560012

 

 

Mayuresh Londhe

PhD Student

Department of Mathematics
Indian Institute of Science
Bangalore 560012

 

Subhojoy Gupta

Assistant Professor

Department of Mathematics
Indian Institute of Science
Bangalore 560012

 

Harish Seshadri

 

Professor

Department of Mathematics
Indian Institute of Science
Bangalore 560012

Vamsi Pingali

Assistant Professor

Department of Mathematics
Indian Institute of Science
Bangalore 560012

Ved Datar

Assistant Professor

Department of Mathematics
Indian Institute of Science
Bangalore 560012

Sugata Mondal

Reader

School of Mathematics
Tata Institute of Fundamental Research,
Homi Bhabha Road
Colaba, Mumbai 400005

Gautam Bharali

Professor

Department of Mathematics
Indian Institute of Science
Bangalore 560012

Dheeraj Kulkarni

Assistant Professor

Department of Mathematics
IISER Bhopal
Bhopal Bypass Road, Bhauri
Bhopal 462066

Soma Maity

Assistant Professor

Department of Mathematics
IISER Mohali
Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306

 

 


 Syllabus: 

 

Name of the speaker

Position

Affiliation

Detailed Syllabus

Harish Seshadri Professor Department of Mathematics
Indian Institute of Science
Bangalore 560012
Manifolds, Riemannian metrics, Geodesics, Levi Civita Connection, Curvature
Vamsi Pingali Assistant Professor Department of Mathematics
Indian Institute of Science
Bangalore 560012
Homogeneous polynomials and projective manifolds, almost-complex structures, Kähler metrics, cohomology, Chern form, Kähler connection, Introduction to the Calabi conjectures
 Ved Datar Assistant Professor Department of Mathematics
Indian Institute of Science
Bangalore 560012
Basic Kähler geometry, Kähler-Einsten metrics, Elliptic operators on compact Riemannian manifolds, Schauder estimates, Complex Monge-Ampere equations, Yau’s solution of the Calabi conjecture by the continuity method, Fano case
 Sugata Mondal Reader School of Mathematics
Tata Institute of Fundamental Research,
Homi Bhabha Road
Colaba, Mumbai 400005
Topics in spectral geometry: hyperbolic surfaces, systoles, eigenfunctions of the Laplacian
Gautam Bharali  Professor Department of Mathematics
Indian Institute of Science
Bangalore 560012
Introduction to several complex variables, Hartog’s theorem, Basics of complex manifolds, Hermitian metric
Dheeraj Kulkarni Assistant Professor Department of Mathematics
IISER Bhopal
Bhopal Bypass Road, Bhauri
Bhopal 462066
Basics of foliations and surface laminations, Beltrami equation, Candel’s uniformization for surface laminations
Soma Maity Assistant Professor Department of Mathematics
IISER Mohali
Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306
Introduction to Ricci Flow, Hamilton’s proof of uniformization for higher genus surfaces

 

 

 


Time Table

Day

Date

Lecture 1

9:30
to
11 am

Tea

11
to
11:30 am

Lecture 2

11:30
to
1pm

Lunch

1
to
2:30pm

Lecture 3

2:30
to
4:00pm

Tea

4:00
to
4:15pm

Tutorial

4:15
to
5:15pm

Dinner

7:00
to
8:30pm

 

 

name of the speaker

(abbreviation)

 

name of the speaker

(abbreviation)

 

name of the tutors

(abbreviation)

 

name of the tutors

(abbreviation)

 

Mon

8/7

HS

 

GB

 

GB

 

GB

 

Tues

9/7

HS

 

GB

 

DK

 

HS

 

Wed

10/7

HS

 

GB

 

DK

 

SaG/ML

 

Thu

11/7

HS

 

VP

 

DK

 

DK

 

Fri

12/7

HS

 

VP

 

VD

 

SaG/ML

 

Sat

13/7

HS

 

VP

 

VP

 

SaG/ML

 

 

Mon

 

VP

 

VP

 

SU

 

SG

 

Tue

 

VP

 

VD

 

SU

 

VP

 

Wed

 

VD

 

VD

 

SU

 

VD

 

Thu

 

SU

 

VD

 

SO

 

SU

 

Fri

 

SU

 

VD

 

SO

 

SO

 

Sat

 

SU

 

VD

 

SO

 

SG

 

 Full forms for the abbreviations of speakers and tutors :

HS  :  Harish Seshadri

GB  : Gautam Bharali

DK  : Dheeraj Kulkarni

VP  : Vamsi Pingali

VD  : Ved Datar

SU  : Sugata Mondal

SO  : Soma Maity

SaG  : Sahil Gehlawat

ML  :  Mayuresh Londhe

 


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 Details of Ph.D if applicable Ph.D. Deg Date
1 24556 Mr Arijit Nath Male IIT Madras Ph.D student Ramakrishna Mission Vivekananda University 2013    
2 24643 Mr Soumik Ghosh Male Indian Statistical Institute M Math Student Indian Statistical Institute Appeared    
3 24653 Mr Pritthijit Biswas Male Chennai Mathematical Institute PhD Ramakrishna Mission Vivekananda University 2017    
4 24713 Mr. Umar Mohammad Khan Male Aligarh Muslim University PhD Student Aligarh Muslim University 2015    
5 25529 Mr. Reebhu Bhattacharyya Male Indian Institute of Technology Bombay Integrated Masters Student(Final Year) Indian Institute of Technology Bombay Appeared    
6 25558 Mr Anantadulal Paul Male NISER BHUBANESWAR PhD UNIVERSITY OF PUNE MAHARASTRA 2015    
7 26039 Mr. Sourav Holme Choudhury Male Institute of Mathematical Sciences PhD Indian Statistical Institute, Kolkata 2018    
8 26174 Mrs. Arifa Naz Female Department of Mathematics, Aligarh Muslim University PhD Aligarh Muslim University 2016    
9 26824 Mr. Sachchidanand Prasad Male IISER Kolkata PhD NIT Rourkela 2017    
10 26968 Mr Sriram Raghunath Male (IISER) Pune 4th Year BS MS Student Indian Institute of Science Education and Research, Pune Appeared    
11 27050 Mr. George Shaji Male IISER Mohali Integrated MS-Ph.D Student IISER Mohali Appeared    
12 27301 Mr. Ritwik Chakraborty Male Indian Institute of Technology BS (Double Major) Student        
13 27480 Mr M V Ajay Kumar Nair Male IISER Bhopal Project Student IISER B 2018    
14 27561 Mr. Anant Singh Male Chennai Mathematical Institute MSc Student Chennai Mathematical Institute      
15 27650 Mr. Neeraj Kumar Dhanwani Male IISER Bhopal PhD Devi Ahilya University 2015 ongoing 4th year, I have submitted a paper in some peer reviewed journal.  
16 27652 Ms. Jigyasa Gaurav Female IIT, Bombay PhD Indian Institute of Science, Bangalore 2017    
17 27700 Mr. Sourav Ghosh Male Chennai Mathematical Institute MSc Student Chennai Mathematical Institute      
18 27731 Mr. Kumar Sannidhya Shukla Male National Institute of Science Education and Research (NISER), Bhubaneswar Integrated MSc. Student NISER, Bhubaneswar Appeared    
19 27745 Mr. Kushlam Srivastava Male IIT Kanpur B.S. Student None      
22 27792 Ms. Monika Yadav Female IISER Bhopal PhD IIT Kanpur 2017    
21 27800 Ms. Ramya Nair Female IISER Pune PhD student Mumbai 2015    
22 27833 Mr. Adithyan P Male IISER, Pune Fourth year BS-MS Student Indian Institute of Science Education and Research Pune Appeared    
23 27846 Mr. Paramjit Singh Male Chennai Mathematical Institute MSc II year Chennai Mathematical Institute Appeared    
24 27899 Mr. Sannidhi Alape Male Indian Institute of Science Education and Research Bhopal PhD Chennai Mathematical Institute 2016    
25 27007 Mr. Partha Sarathi Ghosh Male Indian Statistical Institute M.Math Student Indian Statistical Institute, Kolkata      
26 27284 Mr.Pradeep Singh Male Indian Institute of Technology, Delhi PhD Indian Institute of Technology, Delhi 2017    
27 27969

Devendra Tiwari

Male Bhaskaracharya Pratishthana          
28 25125 Mr. Kartick Ghosh Male IISc Bangalore Int. PhD Student IISc Bangalore      
29 26163 Mr. Sumit Kumar Singh Male Indian Statistical Institute Student   Appeared    
30 26288 Ms Annapurna Banik Female IISC Bangalore PhD Student University Of Calcutta 2018    
31 27065 Mr. Gobinda Sau Male Indian Institute of Science PhD Chennai Mathematical Institute 2015    
32 27104 Mr. Akshay Sateesh Hegde Male Indian Statistical Institute BMath Student        
33 27191 Mr. Rithwik Susheel Vidyarthi Male Indian Institute of Science Education and Research- Pune BS-MS student Indian Institute of Science Education and Research- Pune Appeared    
34 27254 Mr. Chinmaya Kausik Male Indian Institute of Science Undergraduate Student -Still an undergraduate student-      
35 27318 Mr. Karthik Vasu Male Indian Statistical Institute M.Math Student Indian Statistical Institute Appeared    
36 27390 Mr Deepak Badarinath Male Indian Statistical Institute BMath(Hons) 3rd Year student        
37 27517 Mr. Pabitra Barman Male Indian Institute of Science PhD Student Indian Institute of Science 2018    
38 27534 Mr Manish Kumar Male Indian Statistical Institute , Bengaluru Undergraduate ( Final Year)        
39 27584 Mr. Indrayudh Roy Male Indian Statistical Institute, Bangalore Centre M.Math Student Indian Statistical Institute, Bangalore Centre      
40 27947 Mr Ramesh Mete Male Indian Institute of Science Int. PhD 2nd year student Indian Institute of science Appeared    
41 28024 Mr. Pranab Sarkar Male Indian Institute of Science, Bangalore PhD Indian Institute of Science, Bangalore 2018    

 

 


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