Scientific organisers
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Netan Dogra, King's College London
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Dohyeong Kim , Seoul National University
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Jaesung Kwon, Seoul National University
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Jan Vonk , Leiden University
About:
The aim of this workshop was to survey recent progress on reciprocity laws in arithmetic algebraic geometry, and in the nascent field of arithmetic quantum field theory. Organised in partnership with the Clay Mathematics Institute and the Institute for Data Innovation in Science, the event was also in celebration of the work of Minhyong Kim, who has made pioneering contributions to both subjects. This presented a chance to bring together world class researchers working on reciprocity laws in Diophantine geometry, p-adic Hodge theory, anabelian geometry, Iwasawa theory and the arithmetic and geometric Langlands programmes.
We were grateful for the financial supports from Edinburgh Mathematical Society, European Research Council and National Research Foundation of Korea.
Participation
Application was closed. Please note, there was no accommodation support available for public applications in this event. All applications would then be reviewed by the scientific organisers and the aim was to advise participants of their decisions shortly in a week after the closing date.
Participants with special needs or who must fulfil strict visa requirements are encouraged to apply as early as possible and contact ICMS immediately upon submission. We will review your request on a case by case basis.
Public lecture
"A View from Ancient Chinese Mathematical Sources" was held on Monday 25 November at 18.30 GMT. This lecture would be presented by Karine Chemla.
Programme:
MONDAY 25 November 2024 | ||
Registration | ||
Welcome and Housekeeping | ||
Alex Betts, Harvard University | Unexpected points in non-abelian Chabauty loci | |
Refreshments | ||
Kiran Kedlaya, University of California San Diego | A brief history of nonabelian Chabauty | |
Lunch | ||
Jennifer Balakrishnan, Boston University | Quadratic Chabauty for modular curves | |
Refreshments | ||
Richard Hain, Duke University | Relative higher Albanese manifolds over modular curves | |
Welcome reception at ICMS | ||
Public lecture, Karine Chemla, University of Edinburgh and SPHERE, French National Centre for Scientific Research (CNRS) & University Paris Cité | Working with Positions: A View from Ancient Chinese Mathematical Sources | |
TUESDAY 26 November 2024 | ||
Akio Tamagawa, RIMS Kyoto | A finiteness conjecture for abelian varieties over number fields (joint work with Christopher Rasmussen) | |
Refreshments | ||
Amina Abdurrahman, IHES | Chern-Simons action and Reidemeister torsion in arithmetic | |
Lunch | ||
Christopher Rasmussen, Wesleyan University | Finiteness results for heavenly elliptic curves and connections to complex multiplication | |
Refreshments | ||
Anna Cadoret, Sorbonne University | On the trivial locus of p-adic local systems | |
Refreshments | ||
Romyar Sharifi, University of California, Los Angeles (remote talk) | Eisenstein cocycles and their specializations | |
WEDNESDAY 27 November 2024 | ||
David Jordan, University of Edinburgh | Langlands duality for skein modules of 3-manifolds | |
Refreshments | ||
Xenia de la Ossa, University of Oxford | On the arithmetic of Calabi-Yau manifolds | |
Refreshments | ||
Ishai Dan-Cohen, Ben Gurion University | Towards p-adic periods in Chabauty-Kim theory | |
Lunch | ||
THURSDAY 28 November 2024 | ||
Fabrizio Andreatta, Università degli Studi di Milano | A p-adic version of a Theorem of Narasimhan and Seshadri | |
Refreshments | ||
Mahesh Kakde, Indian Institute of Science | The matrix coefficient conjecture | |
Lunch | ||
Sug Woo Shin, UC Berkeley | The local intertwining relation | |
Refreshments | ||
Padma Srinivasan, Boston University | An algebraic cycle associated to a curve in its Jacobian | |
Refreshments | ||
Florian Pop, University of Pennsylvania (remote talk) | On (birational) Section Conjectures -Old & New | |
Workshop dinner | ||
FRIDAY 29 November 2024 | ||
Jeehoon Park, Seoul National University | Flat F-manifolds for smooth projective complete intersection varieties | |
Refreshments | ||
Magnus Carlson, Goethe University Frankfurt | The étale topos reconstructs varieties over sub-p-adic fields | |
Lunch and End of Workshop |