Advancing Research & Innovation in Math (original) (raw)
Thematic Programme on Rational Points, Algebraic Cycles and the Local-Global Principle
Jan 2026 - May 2026
DESCRIPTION
Variants of the local-global principle beginning with Hasse's theorem for quadratic forms are many. Extension of Hasse's theorem to homogeneous spaces of connected linear algebraic groups over a number field, and to homogeneous spaces of linear algebraic groups over function fields in one variable over a local field are two such variants. Conjectures concerning the existence of rational points and zero-cycles, and their interactions with analytic number theory and motivic cohomology fall under the realm of this study. Involving objects like Brauer group and Chow groups, and drawing techniques from algebraic K-theory, this programme sets out to examine recent progress in these areas.
Programme Activities
WORKSHOPS
Workshop 1: Arithmetic of Algebraic Cycles
27 - 29 January, 2026
Workshop 2: Linear Algebraic Groups over Arithmetic Fields
17 - 19 March, 2026
Workshop 3: Varieties with many rational points
14 - 16 April, 2026
MINICOURSES
Minicourse 1: Mini-Course on Recent Work of Kollár–Tian and Tian
January 13, 15, 20, 22, 2026
Minicourse 2: The Grothendieck-Serre Conjecture work of Colliot-Thélène - Ojanguren and Raghunathan
10, 11, 12 February, 2026
Minicourse 3: Intersection Theory and Riemann-Roch Theorem
20, 23, 25 February and 2, 6, 9 March 2026
Minicourse 4: Generically trivial torsors under algebraic groups
23, 24, 26, 27 February, 2026
Minicourse 5: Loop torsors in arithmetic geometry
5, 10, 13, 16 March 2026
Minicourse 6: A brief introduction to Bruhat–Tits theory
2, 4, 6, 11, 13, 16 March, 2026
Minicourse 7: Characteristic p Phenomena in Brauer Groups
30 March and 1, 3 April 2026
Minicourse 8: Solvable Descent and the Grunwald Problem for Solvable Groups
30 March and 1, 3 April 2026
Minicourse 9: Hasse Principle for 100% of Diagonal Conic Bundle Surfaces
7,8 April 2026
Minicourse 10: Rational Points on Kummer Varieties and Swinnerton-Dyers method
8, 10 April 2026
SEMINARS & LECTURES
Inaugural Lecture by Federico Scavia
12 January 2026
Lecture 1: Affine grassmannians and torsors over smooth curves for smooth algebraic groups.
12, 16 February, 2026
Lecture 2: Geometry of word equations in simple algebraic groups
24, 26 February, 2026
Lecture 3: The smoothness conjecture and the norm residue isomorphism theorem
4, 11 March, 2026
Geometry and arithmetic of word equations in simple algebraic
groups Boris Kunyavski˘
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Minicourse 3 Intersection Theory and Riemann Roch Theorem Kapil Hari Paranjape
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Minicourse 4 Generically trivial torsors under algebraic groups Kestutis
Cesnavicius
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Philippe Gille - Lectures on Loop Torsors in Arithmetic Geometry
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Federico Scavia LMSI Inaugural Lecture 2026-01-12
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| Name | Affiliation | Attending Dates |
|---|---|---|
| Matthew Allen | Emory University | 2026-02-17 to 2026-03-20 |
| Aravind Asok | University of Southern California | 2026-01-25 to 2026-02-01 |
| Chetan Balwe | Indian Institute of Science Education and Research, Mohali | 2026-01-25 to 2026-02-01 |
| Olivier Benoist | ENS, CNRS | 2026-01-18 to 2026-02-13 |
| Mridul Biswas | University of Canterbury | 2026-04-13 to 2026-04-25 |
| Elyes Boughattas | Université de Rennes | 2026-04-06 to 2026-04-25 |
| Alexis Bouthier | Sorbonne Université | 2026-02-09 to 2026-02-22 |
| Martin Bright | Leiden University | 2026-03-16 to 2026-04-30 |
| Patrick Brosnan | University of Maryland | 2026-01-01 to 2026-01-21 |
| Divyasree C R | Indian Institute of Science Education and Research, Pune | 2026-03-09 to 2026-03-20 |
| Kestutis Cesnavicius | CNRS, Sorbonne Université | 2026-02-21 to 2026-02-28 |
| Pralay Chatterjee | The Institute of Mathematical Sciences | 2026-02-20 to 2026-03-20 |
| Vladimir Chernousov | University of Alberta | 2026-02-14 to 2026-02-21 |
| Jean-Louis Colliot-Thelene | CNRS et Université Paris-Saclay | 2026-01-06 to 2026-02-14; 2026-03-10 to 2026-04-20 |
| Brendan Creutz | University of Canterbury | 2026-04-12 to 2026-04-18 |
| Ulrich Derenthal | Leibniz Universität Hannover | 2026-04-08 to 2026-04-19 |
| Julian Demeio | University of Hannover | 2026-03-16 to 2026-04-11 |
| Azur Donlagic | Université Paris-Saclay | 2026-04-12 to 2026-04-25 |
| Elden Elmanto | University of Toronto | 2026-01-21 to 2026-02-07 |
| Mathieu Florence | Sorbonne Université | 2026-03-01 to 2026-03-21 |
| Christopher Frei | Technical University Graz | 2026-03-30 to 2026-04-09 |
| Felipe Gambardella | École Polytechnique | 2026-04-12 to 2026-04-25 |
| Philippe Gille | CNRS, Lyon, France and IMAR, Romania | 2026-03-01 to 2026-03-21 |
| Rahul Gupta | Institute of Mathematical Sciences, Chennai | 2026-01-18 to 2026-02-15 |
| Damián Gvirtz | University of Glasgow | 2026-04-08 to 2026-04-29 |
| Kapil Hari Paranjape | Indian Institute of Science Education and Research, Mohali | 2026-01-20 to 2026-04-30 |
| Diego Izquierdo | Université Paris Cité | 2026-04-12 to 2026-04-25 |
| Lena Ji | University of Illinois Urbana-Champaign | 2026-01-15 to 2026-02-13 |
| Aditya Karnataki | Chennai Mathematical Institute | 2026-01-23 to 2026-02-01 |
| Akshay Chandrakant Kharade | Indian Institute of Science and Education Research, Pune | 2026-03-01 to 2026-03-14 |
| Arnab Kundu | Simion Stoilow Institute of Mathematics of the Romanian Academy (IMAR) | 2026-02-22 to 2026-03-11 |
| Boris Kunyavskii | Bar-Ilan University | 2026-02-17 to 2026-03-23 |
| Jan Lange | Leibniz University Hannover | 2026-01-25 to 2026-03-20 |
| Tingyu Lee | National Taiwan University | 2026-03-14 to 2026-03-20 |
| Marc Levine | Universität Duisburg-Essen | 2026-01-25 to 2026-02-07 |
| Ritankar Nath | Indian Institute of Science Research and Education, Tirupati | 2026-02-22 to 2026-02-28 |
| Manh Linh Nguyen | Institut de Mathématiques de Jussieu - Paris Rive Gauche, CNRS | 2026-03-14 to 2026-05-01 |
| Julian Lyczak | Universiteit Antwerpen | 2026-04-05 to 2026-04-26 |
| Alexander Molyakov | Leiden University | 2026-03-30 to 2026-04-30 |
| Sumit Chandra Mishra | IIT Indore, India | 2026-03-16 to 2026-03-22 |
| Arup Mondal | IISER Pune | 2026-04-11 to 2026-04-20 |
| Fabien Morel | Ludwig Maximilian University, Munich | 2026-03-07 to 2026-03-21 |
| Adam Morgan | University of Cambridge | 2026-04-06 to 2026-04-17 |
| Rachel Newton | King's College London | 2026-04-13 to 2026-04-17 |
| Danny Ofek | University of British Columbia | 2026-02-10 to 2026-03-20 |
| Ross Paterson | University of Bristol | 2026-03-29 to 2026-04-18 |
| Rakesh Pawar | Kerala School of Mathematics, Kerala | 2026-01-25 to 2026-02-01 |
| Gopal Prasad | University of Michigan | 2026-01-20 to 2026-04-10 |
| Anne Quéguiner-Mathieu | Université Sorbonne Paris Nord | 2026-03-01 to 2026-03-20 |
| Kavinesh R | IISER Pune | 2026-03-01 to 2026-03-13 |
| Parimala Raman | Emory University | 2026-01-01 to 2026-04-30 |
| Preeti Raman | IIT Bombay | 2026-02-15 to 2026-05-30 |
| Sujatha Ramdorai | University of British Columbia | 2026-02-23 to 2026-03-23 |
| Charanya Ravi | Tata Institute of Fundamental Research, Bombay | 2026-01-19 to 2026-02-15 |
| Nick Rome | Technical University Graz | 2026-04-05 to 2026-04-19 |
| Cameron Ruether | Simion Stoilow Institute of Mathematics of the Romanian Academy (IMAR) | 2026-02-09 to 2026-03-21 |
| Vivek Sadh | Indian Institute of Science Education and Research, Bhopal | 2026-01-26 to 2026-02-08 |
| Arnab Saha | IIT Gandhinagar | 2026-04-13 to 2026-04-17 |
| Bhamidi Sai Somanjana Sreedhar | Harish-Chandra Research Institute | 2026-01-11 to 2026-02-15 |
| Shuji Saito | University of Tokyo | 2026-01-24 to 2026-01-30 |
| Cecilia Salgado | Rijksuniversiteit Groningen | 2026-03-29 to 2026-04-12 |
| Biswanath Samanta | Indian Institute of Science Education and Research, Pune | 2026-04-06 to 2026-04-20 |
| Soumya Sankar | Utrecht University | 2026-03-29 to 2026-04-17 |
| Federico Scavia | CNRS and Universite' Sorbonne Paris Nord | 2026-01-06 to 2026-02-07 |
| Alexei Skorobogatov | Imperial College London | 2026-01-01 to 2026-01-29 |
| Anupam Kumar Singh | Indian Institute of Science Education and Research, Pune | 2026-02-22 to 2026-03-22 |
| Srimathy Srinivasan | Tata Institute of Fundamental Research, Bombay | 2026-01-02 to 2026-04-30 |
| Anastasia Stavrova | St. Petersburg Department of Steklov Mathematical Institute | 2026-03-16 to 2026-03-20 |
| Sam Streeter | University of Bristol | 2026-03-29 to 2026-04-18 |
| Fumiaki Suzuki | BICMR, Peking University | 2026-01-06 to 2026-01-31 |
| Harkaran Uppal | University of Bristol | 2026-03-29 to 2026-04-18 |
| Sandeep Varma | Tata Institute of Fundamental Research, Bombay | 2026-03-09 to 2026-03-20 |
| Shivam Vats | IISER Tirupati | 2026-04-13 to 2026-04-18 |
| Charles Vial | Bielefeld University | 2026-01-17 to 2026-01-30 |
| Rosa Winter | Universität Freiburg | 2026-04-02 to 2026-04-27 |
| Haowen Zhang | Leiden University | 2026-03-06 to 2026-03-20 |
| Anis Zidani | Kiel University, Germany | 2026-03-06 to 2026-03-21 |
ORGANISERS
Jean-Louis Colliot-Thélène
Université Paris-Saclay
Parimala Raman
Emory University
Federico Scavia
Université Sorbonne Paris-Nord