Convener(s)
| Name: | Omprokash Das | Krishna Hanumanthu | A. J. Parameswaran |
| Mailing Address: | Reader, Tata Institute of Fundamental Research Homi Bhabha Rd Mumbai 400 005 |
Professor, Chennai Mathematical Institute H1, SIPCOT IT Park, Siruseri Kelambakkam 603103 |
Visiting Professor, Kerala School of Mathematics Kunnamangalam PO Kozhikode, Kerala, INDIA PIN: 673571 |
| Email: | omdas at math.tifr.res.in | krishna at cmi.ac.in | param at ksom.res.in |
The theory of Toric Varieties is a very fertile ground in algebraic geometry. One of the remarkable properties of this kind of variety is that you can create non-trivial examples and do computations on them with ease. So learning toric varieties is an enriching experience. In this workshop, we will learn about the fundamentals of toric varieties. We expect this workshop will greatly help the PhD and advanced master’s students in algebraic geometry.
Dates:
Venue:
Venue Address:
KSCSTE-KERALA SCHOOL OF MATHEMATICS
Kunnamangalam PO Kozhikode, Kerala, INDIA PIN: 673571
Venue State:
Venue City:
PIN:
Syllabus:
Syllabus to be covered in terms of modules of 6 lectures each :
|
Name of the Speakers with their affiliation. |
No. of Lectures |
Detailed Syllabus |
|
Vivek Mallick |
4 |
Cones and affine toric varieties, properties of affine toric varieties. Lattice points, polytopes, and projective toric varieties. Fans and normal toric varieties, Orbit-cone correspondence |
|
Jyoti Dasgupta |
4 |
Toric morphisms, and complete and proper toric varieties. Non-normal toric varieties. Weil and Cartier divisors on toric varieties. Sheaf of torus invariant divisors. |
|
Anand Sawant |
4 |
Quotient construction of toric varieties, total coordinate rings, sheaves on toric varieties, homogenization, and polytopes. |
|
Omprokash Das |
4 |
Ample and Base-point free divisors on complete toric varieties, polytopes, and projective toric varieties, the nef and Mori cones, and simplicial fans. |
|
Chandranandan Gangopadhyay |
4 |
Polyhedra and toric varieties, projective morphism of toric varieties, projective bundle on toric varieties. |
|
Parameswaran |
4 |
Differential forms and canonical divisors on toric varieties, Fano toric varieties. Toric surfaces and resolution of singularities of toric singularities |
References:
- Toric Varieties by Cox,Little,and Schenck.
- Introduction to Toric Varieties by William Fulton.
1. Vivek Mallick (VM), IISER Pune
2. Jyoti Dasgupta (JD), IIT Dhanbad
3. Anand Sawant (AS), TIFR, Mumbai
4. Omprokash Das (OD), TIFR, Mumbai
5. Chandranandan Gangopadhyay (CG), Shiv Nadar University
6. A. J. Parameswaran (AJP), KSOM
Names of the tutors with their affiliation:
1. Arnab Roy (AR), TIFR, Mumbai
2. Bivas Khan (BK), IIT BHU
3. Mohit Upmany (MU), CMI, Chennai
4. Buddhadev Hajra (BH), CMI, Chennai
5. Praveen Kumar Roy (PR), CEBS, Mumbai
Time Table:
Tentative time-table, mentioning names of the speakers and tutors with their affiliation:
|
Day |
Date |
Lecture1 9:30–11:00 |
Tea 11:00-11.30 |
Lecture2 11:30–13:00 |
Lunch 13:00-14:30 |
Tutorial1 14:30–15:30 |
Tea 15:30-16:00 |
Tutorial2 16:00-17:00 |
Snacks 17:00 |
|
|
|
(name of the speaker) |
|
(name of the speaker) |
|
|
|
|
|
|
Mon |
08/12/25 |
Vivek Mallick |
|
Vivek Mallick |
|
VM+AR+BK |
|
VM+AR+BK |
|
|
Tues |
09/12/25 |
Vivek Mallick |
|
Vivek Mallick |
|
VM+AR+BK |
|
VM+AR+BK |
|
|
Wed |
10/12/25 |
Jyoti Dasgupta |
|
Jyoti Dasgupta |
|
JD+MU+BH |
|
JD+MU+BH |
|
|
Thu |
11/12/25 |
Jyoti Dasgupta |
|
Jyoti Dasgupta |
|
JD+MU+BH |
|
JD+MU+BH |
|
|
Fri |
12/12/25 |
Anand Sawant |
|
Anand Sawant |
|
AS+AR+BK |
|
AS+AR+BK |
|
|
Sat |
13/12/25 |
Anand Sawant |
|
Anand Sawant |
|
AS+AR+BK |
|
AS+AR+BK |
|
|
Day |
Date |
Lecture 1 |
Tea |
Lecture 2 11:30-13:00 |
Lunch 13:00-14:30 |
Tutorial 1 14:30–15:30 |
Tea 15:30-16:00 |
Tutorial 2 16:00-17:00 |
Snacks |
|
|
|
(name of the speaker) |
|
(name of the speaker) |
|
|
|
|
|
|
Mon |
15/12/25 |
Omprokash Das |
|
Omprokash Das |
|
OD+AR+PR |
|
OD+AR+PR |
|
|
Tues |
16/12/25 |
Omprokash Das |
|
Omprokash Das |
|
OD+AR+PR |
|
OD+AR+PR |
|
|
Wed |
17/12/25 |
Chandranandan Gangopadhyay |
|
Chandranandan Gangopadhyay |
|
CG+PR+SM |
|
CG+PR+SM |
|
|
Thu |
18/12/25 |
Chandranandan Gangopadhyay |
|
Chandranandan Gangopadhyay |
|
CG+PR+SM |
|
CG+PR+SM |
|
|
Fri |
19/12/25 |
Parameswaran |
|
Parameswaran |
|
AJP+BK+MU |
|
AJP+BK+M U |
|
|
Sat |
20/12/25 |
Parameswaran |
|
Parameswaran |
|
AJP+BK+MU |
|
AJP+BK+M U |
|
Selected Applicants:
| Serial | 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 | 65820 | Mr Supravat Sarkar | Male | Princeton University | PhD student | Indian Statistical Institute | 2021 | |
| 2 | 65863 | Mr. Pavan Hasmukhbhaiadroja | Male | IIT Gandhinagar | Research Associate-I | Saurashtra University | 2019 | 21/06/2025 |
| 3 | 65886 | Ms Ananya Pal | Female | Indian Statistical Institute, Kolkata | Research Associate | University of Calcutta | 2018 | 11/04/2025 |
| 4 | 65983 | Mr. Swapnajit Das | Male | TIFR Mumbai | PhD student | TIFR Mumbai | 2025 | |
| 5 | 66004 | Mr. Anubhab Pahari | Male | IIT Madras | PhD | Jadavpur University, Msc | 2020 | |
| 6 | 66073 | Mr. Swarup Paul | Male | Shiv Nadar University | PhD | University of North Bengal | 2021 | |
| 7 | 66075 | Mr Anindya Mukherjee | Male | IISER Berhampur | PHD Student | Jadavpur university | 2021 | |
| 8 | 66079 | Mr. Arkadev Ghosh | Male | Chennai Mathematical Institute | PhD | Indian Institute of Technology, Khraragpur | 2020 | |
| 9 | 66118 | Mr. Anirban Mondal | Male | Shiv Nadar IoE | PhD | University of Hyderabad | 2023 | |
| 10 | 66121 | Mr. Aniket Chakraborty | Male | Tata Institute of Fundamental Research | PhD | IIT Kanpur | 2023 | |
| 11 | 66132 | Mr Sandipan Das | Male | IIT Gandhinagar | PhD Student | University of Hyderabad | 2022 | |
| 12 | 66235 | Ms. Prachipratyasi Sahoo | Female | IIT(ISM)DHANBAD | Ph.D | Utkal University, Odisha | 2023 | |
| 13 | 66236 | Mr. Mrinmoy Mazumdar | Male | IIT ( ISM ) Dhanbad | PhD | The University of Burdwan | 2022 | |
| 14 | 66251 | Mr. Prakash Chandrajoshi | Male | IISER Mohali | Int. PhD student | IISER Mohali | 2022 | |
| 15 | 66292 | Mr. Ayush Khare | Male | IISER MOHALI | PhD Student | IISER Mohali | 2022 | |
| 16 | 66293 | Mr. Aman Singh | Male | IISER MOHALI | PhD Student | Kerala School of Mathematics, Kozhikode (Kerala) | 2022 | |
| 17 | 66294 | Mr. Tapas Kumarroy | Male | Indian Institute of Technology Kharagpur | PhD | Jadavpur University, Kolkata | 2019 | |
| 18 | 66303 | Mr Anirban Sarkar | Male | Tata Institute of Fundamental Research | IPhD Student | Tata Institute of Fundamental Research | ||
| 19 | 66340 | Mr. Urjasween Chakraborty | Male | Indian Institute of Technology Kanpur | PhD | Indian Institute of Technology Kanpur | 2025 | |
| 20 | 66372 | Ms. Raneeta Dutta | Female | University of Kansas | GTA, PhD Student | IIT Madras | 2016 | |
| 21 | 66455 | Mr Shivam Vats | Male | IISER Tirupati | Phd | IISER Tirupati | 2020 | 05/08/2025 |
| 22 | 66491 | Ms. Ashima Bansal | Female | Shiv Nadar University | Postdoc | IISER Tirupati | 2020 | |
| 23 | 66495 | Mr. Sai Krishna P M S | Male | Indian Statistical Institute Kolkata | Project Research Assistant | ISI Kolkata | 2020 | 16/12/2024 |
| 24 | 66501 | Mr. Aditya Subramaniam | Male | Manipal Institute of Technology, Manipal | Assistant Professor | Savitribai Phule Pune University | 2015 | 30/07/2021 |
| 25 | 66517 | Mr. Deepak Joy | Male | IIT MADRAS | PhD | CENTRAL UNIVERSITY OF KERALA | 2021 | |
| 26 | 66519 | Dr. Debojyoti Bhattacharya | Male | Chennai Mathematical Institute | Postdoctoral Fellow | IISER, Thiruvananthapuram | 2017 | 23/07/2023 |
| 27 | 66528 | Mr. Pratyus Kumarsahoo | Male | Kerala School of Mathematics | Integrated MSc-PhD Student | Kerala School of Mathematics |
How to Reach:
TBA