A Symposium on Luis Caffarelli's works
Luis Caffarelli is a luminary in the field of partial differential equations. He was the recipient of Abel Prize in 2023. The idea of this week long symposium is to present a glimpse of Caffarelli's works in various subject areas that he has pioneered.
Click here to watch the recorded lectures
List of Speakers and Topics
| # | Speaker | Topics |
|---|---|---|
| 1 | Adimurthi | De Giorgi-Nash-Moser Theorem, ABP maximum principle ( preliminary lectures). |
| 2 | Harsh Prasad |
Compactness methods to prove Schauder and Calderon Zygmund estimates.
|
| 3 | Agnid Banerjee | Krylov-Safonov and Evans-Krylov Theorem (preliminaries), Boundary harnack inequality, Classical Obstacle problem, thin obstacle problem and Monge Ampere equation. |
| 4 | Ali Hyder | Caffarelli-Kohn-Nirenberg theorem on partial regularity result for Navier Stokes. |
| 5 | Debabrata Karmakar |
Optimal transport theory.
|
| 6 | Koushik Ramachandran |
The work of Caffarelli and Spruck on convexity of super level sets of solutions to some elliptic equations.
|
| 7 | Kunnath Sandeep | The work of Caffarelli, Gidas and Spruck on symmetry of entire solutions to some critical exponent problems. |
| 8 | P N Srikanth | Plane-like solutions to periodic minimal surface equation. |
| 9 |
Harish Shrivastava
|
The works of Alt-Caffarelli-Friedman on one and two phase type problems.
|
| 10 |
Jim Thomas
|
Derivation of Incompressible Navier Stokes from continuum mechanics (preliminary lecture)
|
Schedule
| Time | Mon, Jun 5 | Time | Tue, Jun 6 | Wed, Jun7 | Thu, Jun 8 | Fri, Jun 9 | |
|---|---|---|---|---|---|---|---|
| 09:00 - 10:30 am | Adimurthi | 09:00 - 10:00 am | Harsh | Sandeep | Ali | Agnid | |
| 10:30 - 11:00 am | Tea Break | 10:00 - 11:00 am | Koushik | Sandeep | Debabrata | Debabrata | |
| 11:00 - 12:30 pm | Agnid | 11:00 - 11:30 am | Tea Break | ||||
| 12:30 - 02:00 pm | Lunch | 11:30 - 12:30 pm | Agnid | Agnid | Agnid | Agnid | |
| 02:00 - 03:30 pm | Adimurthi | 12:30 - 02:00 pm | Lunch | ||||
| 03:30 - 04:00 pm | Tea Break | 02:00 - 03:00 pm | Debabrata | Harish | Harsh | Srikanth | |
| 04:00 - 05:30 pm | Agnid | 03:00 - 03:30 pm | Tea Break | ||||
| 05:30 - 06:30 pm | Jim | 03:30 - 04:30 pm | Ali | Debabrata | Ali | Harish | |
| 04:30 - 05:30 pm | Agnid | Agnid | Agnid | Agnid | |||
Pre-requisites
The audience should be familiar with basics of Sobolev spaces and basic $L^{2}$ theory for elliptic equations.
Who can apply
This symposium is targeted at PhD students and Post doctoral Fellows in India working on elliptic PDE's. Highly motivated Master students can also apply. Please send your resume by May 15, 2023 at symposium@tifrbng.res.in
Support
All selected outstation participants will be paid III AC return train fare from their place of study/work to Bangalore. Boarding and lodging in accommodations in the hostel will be provided to outstation participants for the period of the workshop.
Organizing committee
Participants List
Following candidates has been selected for the symposium:
| # | Name |
|---|---|
| 1 | Alok Kumar Sahoo |
| 2 | Anirban Dutta |
| 3 | Anusree R |
| 4 | Arindam Mandal |
| 5 | Aritra Chatterjee |
| 6 | Arnab Pal |
| 7 | Deepak Kumar Mahanta |
| 8 | Dev Ranjan Pandey |
| 9 | Diksha Gupta |
| 10 | Jiya Rose Johnson |
| 11 | Lovlesh Sharma |
| 12 | Mitesh Modasiya |
| 13 | Mohith Raju |
| 14 | Mrityunjoy Ghosh |
| 15 | N N Dattatreya |
| 16 | Nidhi Nidhi |
| 17 | Priyank Oza |
| 18 | Rajesh Kumar Singh |
| 19 | Ritabrata Jana |
| 20 | Rohit Kumar |
| 21 | Saikat Maji |
| 22 | Sanjit Biswas |
| 23 | Sarbani Pramanik |
| 24 | Saumyajit Das |
| 25 | Shammi Malhotra |
| 26 | Shilpa Gupta |
| 27 | Sivaram P. |
| 28 | Souptik Chakraborty |
| 29 | Stuti Das |
| 30 | Subhajit Roy |
| 31 | T. Renjith |
| 32 | Vivek Sahu |