Seshadri Constants (2019)

Convener(s)

 
Name:

Prof. Indranil Biswas

 Dr. Krishna Hanumanthu Dr. Ritwik Mukherjee
Mailing Address:

Professor,
School of Mathematical Sciences, TIFR.

Associate Professor,
CMI

 Reader-F,
School of Mathematical Sciences, NISER
Email: indranil at math.tifr.res.in krishna at cmi.ac.in ritwikm at niser.ac.in

Please Note:  Participants have to arrange for their own travel.

Brief description about the school: Seshadri constants are invariants of line bundles on projective varieties which measure local positivity. They have emerged as a fundamental concept in algebraic geometry. They were introduced by J.-P. Demailly, using the Seshadri criterion for ampleness, to measure the growth rate of tensor powers of an ample line bundle. Over the last thirty years, Seshadri constants have become an active area of research in the field of algebraic geometry.

Dates: 

Monday, December 16, 2019 - 09:45 to Saturday, December 21, 2019 - 18:45

Venue: 

Venue Address: 

School of Mathematical Sciences
National Institute of Science Education and Research (NISER)
Jatni, Khorda District
Odisha
Bhubaneswar
PINCODE : 752050

Venue State: 

Venue City: 

PIN: 

752050

Chrono Order: 

344

Syllabus: 

Speaker Lectures Syllabus
D. S. Nagraj
(IISER Tirupati)		 4 Review of basic curve and surface theory: Riemann-Roch theorem for curves and surfaces, blow ups of nonsingular surfaces at points, adjunction formula, intersection theory on surfaces, Hodge index theorem.
K. Hanumanthu
(CMI)		 4 Introduction to Seshadri constants.
O. Das
(UCLA)		 4 Frobenius-Seshadri constants in positive characteristic.
T. Szemberg
(Pedagogical University of Krakow)		 4 Introduction to the theory of unexpected hypersurfaces.
J. Szpond
(Pedagogical University of Krakow)		 2 TBA

References:

  1. Robin Hartshorne Algebraic Geometry, Chapters IV and V.
  2. D. Cook, B. Harbourne, J. Migliore, U. Nagel, Line arrangements and configurations of points with an unexpected geometric property, Compos. Math. 154 (2018), no. 10, 2150-2194.
  3. T. Bauer, G. Malara, T. Szemberg, J. Szpond, Quartic unexpected curves and surfaces, M anuscripta Math., 1-10 (2018).
  4. M. Mustata, K. Schwede, A Frobenius variant of Seshadri constants, Math. Ann., 358 (2014), no. 3-4, 861- 878.
  5. R. Lazarsfeld, Positivity in Algebraic Geometry I, Chapter V
  6. T. Bauer et al, A primer on Seshadri constants.

Time Table: 

Day Date Lecture 1
9:30 to 11:00 		Lecture 2
11:30 -1:00 		Lecture 3
2:30-3:30 		Tutorial
4:00-5:00
Mon 16 Dec DSN DSN JSz AD, NIL
Tue 17 Dec DSN DSN JSz AD, NIL
Wed 18 Dec TSz KH OD PKR, AS
Thu 19 Dec TSz KH OD PKR, AS
Fri 20 Dec TSz KH OD PKR, AS
Sat 21 Dec TSz KH OD AD, NIL

Tutors:
Anantadulal, NISER (AD)
Nilkantha, NISER (NIL)
Praveen Kumar Roy, CMI (PKR)
Aditya Subramaniam, CMI (AS)

Selected Applicants: 

 

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 28738 Mr. Aishik Chattopadhyay Male Chennai Mathematical Institute PhD Pondicherry University 2018  
2 28880 Mr. Chandramouli Chakraborty Male Indian Institute Of Technology Madras ph.d Indian Institute Of Technology Madras 2018  
3 29112 Mr. Abhishek Gupta Male Indian Institute of Science Education and Research Project student Indian Institute of Science Education and Research Pune 2019  
4 29212 Ms Sagarika Dash Female utkal university MSc student utkal university App / Awt Res.  
5 29337 Mr Arghya Pramanik Male INDIAN INSTITUTE OF THECHNOLOGY, BOMBAY PHD UNIVERSITY OF HYDERABAD 2015  
6 29355 Dr. Saugata Purkayastha Male Assam Don Bosco University Assistant Professor Department of Mathematics, Gauhati University 2010 1 Dec 2015
7 29522 Mr. Pradeep Das Male Harish-Chandra Research Institute PhD Student IIT Kanpur 2011  
8 29534 Mr. Anoop Singh Male Harish-Chandra Research Institute PhD University of Allahabad 2013  
9 29613 Mr. Anindya Ganguly Male IIT Kharagpur MS(by Research) IIT Kharagpur 2016  
10 29627 Mr. Saikat Maity Male University of Calcutta B.Sc complete year student      
11 29691 Mr. Ritankar Nath Male Tata Institute of Fundamental Research, Mumbai Integrated PhD Tata Institute of Fundamental Research, Mumbai    
12 30056 Mr. Soham Mondal Male IIT Madras PH.D VISVA-BHARATI 2017  
13 30062 Ms Maria Ann Mathew Female IIT Bombay Ph.D. IIT delhi 2013  
14 30122 Mr. Suraj Prakash Yadav Male IISER, Pune PhD IIT Kanpur 2016  
15 30174 Dr. Shameek Paul Male RKMVERI Assistant Professor University of Mumbai 2005 19 Jan 2012
16 30209 Dr. Rahul Kumar Singh Male TIFR Mumbai Visting Fellow M. S. University of Baroda 2009 19 Sep 2017
17 30221 Ms. Ananya Chaturvedi Female Tata Institute of Fundamental Research Postdoctoral Fellow University of Houston 2012 15 Dec 2016
18 30282 Mr. Debabrota Mondal Male Indian institute of technology Bhubaneswar MSc Student IIT Bhubaneswar App / Awt Res.  
19 30359 Dr. Parangama Sarkar Female Chennai Mathematical Institute Postdoc IIT Madras 2011 3 Jun 2016
20 30408 Ms Nabanita Ray Female Tata Institute of Fundamental Research Postdoctoral Fellow Jadavpur University    
21 30409 Mr. Snehajit Misra Male Tata Institute of Fundamental Research, Mumbai Visiting Fellow/ Postdoc Ramakrishna Mission Vivekananda Universirty, Belur Math 2013  
22 30482 Mr. Amit Kumar Singh Male IIT Madras PhD University of Allahabad 2011  
23 30483 Ms Arusha C Female IISER Bhopal PhD Student M.S University of Baroda 2015  
24 30507 Mr. Sujoy Chakraborty Male TIFR Mumbai Research Scholar CMI, chennai 2015  
25 30514 Mr. Anant Singh Male Chennai Mathematical Institute M.Sc. Mathematics Second Year Chennai Mathematical Institute    
26 30537 Mr. Areeb Shah Male Chennai Mathematical Institute B.Sc. Student      
27 30552 Mr. Rupam Karmakar Male Institute of Mathematical Sciences, Chennai PhD IIT Madras 2014  

 

 

How to Reach: 

TBA

School Short Name: 

sc

Last Date Application: 

Monday, September 30, 2019

School Type: 

NCMW