Maximal Cohen-Macaulay Modules (2022)

 

Convener(s)

 
Name: Manoj Kummini Sarang Sane
Mailing Address: Associate Professor, Chennai Mathematical Institute Assistant Professor, Indian Institute of Technology Madras
Email: mkummini at cmi.ac.in sarang at iitm.ac.in

 

This school covers topics in an advanced course commutative algebra and connections to local analytic geometry. Topics to be discussed include: maximal Cohen-Macaulay modules, finite Cohen-Macaulay representation type, ADE singularities, simple hypersurface singularities, matrix factorisation theorem, Buchweitz-Greuel-Schreyer characterization of hypersurfaces of finite Cohen-Macaulay representation type. Pre-requisites: participation in the online Advanced Instruction Course Commutative Algebra conducted by NCM during January-May 2021, or an equivalent level of preparation.

NCM Workshop on the topic of maximal Cohen-Macaulay modules, to be held in hybrid mode with offline participation for up to 30-32 participants and recording and live-streaming of the lectures for online participants.

 

Dates: 

Monday, July 11, 2022 - 19:00 to Saturday, July 16, 2022 - 19:00

Venue: 

Venue Address: 

Chennai Mathematical Institute,
H1 SIPCOT IT Park Siruseri,
Kelambakkam Tamilnadu 603 103.

 

 

Venue State: 

Venue City: 

PIN: 

603103

Chrono Order: 

388

Syllabus: 

Syllabus: (Each speaker is required to deliver minimum 6 lectures).

Name of the Speakers with their affiliation.

No. of Lectures

Detailed Syllabus
Manoj Kummini
CMI		 4 Artinian rings, one- and two-dimensional singularities of finite CM type; Graded case.

Sukhendu Mehrotra

CMI

 4 Simple singularities: hypersurface singularities,classification as the ADE singularities. Plane curve singularities, invariants of finite subgroups of SL 2 (C)

Sarang Sane

IIT Madras

 4 matrix factorisations, Knorrer periodicity, Buchweitz-Greuel-Schreyer theorem.

 

 

Time Table: 

Time-Table (with names of speakers and course associates/tutors):

Day Date Lecture 1
9.30–11.00 		Tea Lecture 2
11.30–1.00 		Lunch Tutorial
2.30–3.30 		Tea Tutorial
4.00-5.00 		Snacks
Mon 11/7/2022 MK   SS   SS+2   MK+2  
Tue 12/7/2022 MK   SS   SS+2   MK+2  
Wed 13/7/2022 SM   SS   SS+2   SM+2  
Thu 14/7/2022 SM   SS   SS+2   SM+2  
Fri 15/7/2022 MK   SM   MK+2   SM+2  
Sat 16/7/2022 MK   SM   MK+2   SM+2  

 

 MK: Manoj Kummini; SM: Sukhendu Mehrotra; SS: Sarang Sane.

 

Tutorial S. No. Assistants: Name Affiliation
1 Sudeshna Roy CMI
2 Amith Shastri CMI
3 Prashanth Sridhar Charles University,
Czech Republic

Selected Applicants: 

 Accommodation will be provided from 2022-Jul-10 to 2022-Jul-17.

Sr.l 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 38772 Mr. Anoot Kumar Yadav Male IIT Patna PhD Student Ewing Christian College (University of Allahabad) 2018  
2 38916 Mr. Aniruddha Saha Male IIT Hyderabad PhD UNIVERSITY OF HYDERABAD (HCU) 2018  
3 38922 Mr. Ganapathy K Male IIT Madras PhD student Indian Institute of Technology Madras, Chennai.    
4 39002 Ms. Sutapa Dey Female IIT Hyderabad PhD BIT Mesra 2017  
5 39003 Mr. Shashi Ranjan Sinha Male Indian Institute of Technology Hyderabad PhD Patna University 2020  
6 39011 Ms. Deblina Dey Female IIT Madras PhD RKMVERI 2020  
7 39049 Ms Meghana Bhat Female Indian Institute of Technology Dharwad PhD Student Pondicherry University 2021  
8 39063 Mr. Manohar Kumar Male Indian Institute of Technology, Kharagpur PhD Indian Institute of Technology, Kharagpur 2020  
9 39167 Ms Ananya Pal Female Indian Statistical Institute,Kolkata PhD Calcutta University 2018  
10 39193 Mr. Amit Patra Male IIT Bombay Ph.D. IIT Bombay 2017  
11 39267 Mr. Marie Amalore Nambi Pushparaj Male Indian Institute of Technology Hyderabad PhD M.Sc. 2015  
12 39282 Ms Chitra Venugopal Female Indian Institute of Technology Hyderabad PhD student Cochin University of Science and Technology 2018  
13 39332 Mr. Om Prakash Bhardwaj Male Indian Institute of Technology, Gandhinagar PhD Student Maharshi Dayanand University, Rohtak 2016  
14 39366 Dr. Dibyendu Mondal Male Indian Statistical Institute Kolkata Postdoc Indian Institute of Technology Bombay 2015 18/06/2021
15 39372 Mr. Ankit Mishra Male IIT Bombay Post doctoral fellow University of Allahabad 2015  
16 39373 Dr. Mitra Koley Female Indian Statistical Institute, Kolkata INSPIRE faculty fellow IIT Guwahati 2011 28/07/2018
17 39432 Mr. Kamalesh Saha Male IIT Gandhinagar PhD Aliah University 2017  
18 39442 Mr. Buddhadev Hajra Male IIT Bombay Postdoctoral Fellow IIT Bombay 2016 26/04/2022
19 39507 Mr. Kanoy Kumar Das Male Ramakrishna Mission Vivekananda Educational and Research Institute PhD Ramakrishna Mission Vidyamandira 2018  
20 39652 Mr Pranjal Srivastava Male IIT Gandhinagar PhD University of Allahabad 2016  
21 39734 Mr. Mohamed Harith Male IIT Madras PhD IIT Bombay 2020  
22 39863 Mr Omkar Deepak Javadekar Male Indian Institute of Technology, Bombay MSc & PhD Dual Degree Student Indian Institute of Technology, Bombay 2020  
23 40153 Ms Shruti Priya Female Indian Institute of Technology, Kharagpur PhD National Institute of Technology, Rourkela 2020  
24 38877 Mr. Prakash Chandra Joshi Male iiser mohali Int PhD iiser mohali Appeared  
25 38992 Mr Dibyendu Das Male Indian Statistical Institute Msc Indian Statistical Institute Bangalore 2021  
26 39594 Mrs. Ashitha Tom Female Madurai Kamaraj University PhD Scholar Pondicherry University 2016  
27 39851 Mr. Cheri Paul Vachaparampil Male Madurai Kamaraj University PhD St. Berchmans College, Changanacherry, Autonomous ,Kerala 2016  
28 40344 Mr. B Janaki Raman Male Indian institute of space science and research PhD University of Madras 2016  
  Local participants      
1 39184 Mr. Dharm Veer Male Chennai Mathematical Institute PhD student Chennai Mathematical Institute 2016  
2 39270 Mr. Nirmal Kotal Male Chennai Mathematical Institute PhD IIT Kharagpur 2017  
3 39748 Mr. Arvind Kumar Male Chennai Mathematical Institute Postdoctoral Fellow Indian Institute of Technology Madras 2016 17/07/2020
4 40294 Dr Suprajo Das Male Chennai Mathematical Institute Postdoctoral fellow Chennai Mathematical Institute 2014 15/05/2020
  Online participants      
1 39183 Dr. Rajib Sarkar Male Tata Institute of Fundamental Research Bombay Post-Doc student IIT Madras 2014 17/05/2021
2 39540 Dr. Rabeya Basu Female IISER Pune Associate Professor M.Sc. 1999 03/01/2007
3 39771 Ms. Prativa Biswas Female IIT Kharagpur PhD INDIAN INSTITUTE OF TECHNOLOGY KHARAGPUR 2021  
4 39862 Dr Arusha C Female TIFR Mumbai Visiting Fellow M.S. University of Baroda 2015 31/03/2021
5 40033 Dr. Kumari Saloni Female IIT Patna Assistant Professor Indian Institute of Technology Guwahati 2010 23/06/2017
6 38814 Dr. Dipankar Ghosh Male IIT Kharagpur Asst. Prof. IIT Guwahati 2011 13/08/2016
7 39245 Ms. Parnashree Ghosh Female Indian Statistical Institute PhD IIT Kharagpur 2018  
8 39258 Ms. Kriti Goel Female University of Utah Fulbright-Nehru Postdoctoral Research Fellow IIT Bombay 2015 23/08/2020
9 40285 Mr. Chetan S Tharkoti Male IISER TVM MSc Student IISER TVM Appeared / Awaiting Result  
  Wait Listed      
1 40332 Mr. Tapas Kumar Roy Male IIT, Kharagpur PhD Jadavpur University 2019  
2 40183 Mrs Poonam Ramnath Pokale Female IIT Bombay PhD Pune university 2015  
3 39854 Mr. Manav Batavia Male Indian Institute of Technology Bombay Integrated MSc Mathematics Student Indian Institute of Technology Bombay Appeared  
4 39207 Mr. Ayush Khare Male IISER MOHALI Int. Phd student IISER MOHALI Appeared  
5 39129 Ms Divya Setia Female IISER Mohali Int.PhD IISER Mohali M.Sc. 2020  

 

 

 

 

How to Reach: 

See the following link for more informatio about how to reach the venue:

https://www.cmi.ac.in//contact/how-to-get-to-cmi.php

School Short Name: 

mcmm

Last Date Application: 

Wednesday, April 15, 2020

School Type: 

NCMW

Separate faculty form: 

0