Arithmetic, Geometry, Space and Time: A workshop on the occasion of Minhyong Kim's 61st birthday

Home > Arithmetic, Geometry, Space and Time: A workshop on the occasion of Minhyong Kim's 61st birthday

Arithmetic, Geometry, Space and Time: A workshop on the occasion of Minhyong Kim's 61st birthday

 25 - 29 Nov 2024

ICMS, Bayes Centre, Edinburgh

 Enquiries

Scientific organisers

  • Netan Dogra, King's College London
  • Dohyeong Kim , Seoul National University
  • Jaesung Kwon, Seoul National University
  • Jan Vonk , Leiden University

About:

The aim of this workshop is 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 is also in celebration of the work of Minhyong Kim, who has made pioneering contributions to both subjects. This presents 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 are grateful for the financial supports from Edinburgh Mathematical Society, European Research Council and National Research Foundation of Korea.

Participation

Application is closed now. Please note, there is no accommodation support available for public applications in this event. All applications will then be reviewed by the scientific organisers and the aim is 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

There will be a public lecture "A View from Ancient Chinese Mathematical Sources" on Monday 25 November at 18.30 GMT. This lecture will be presented by Karine Chemla. For more information and to reserve a space, please click here.

Programme:

MONDAY 25 November 2024
09:15-09:50 Registration
09:50-10:00 Welcome and Housekeeping
10:00-11:00 Alex Betts, Harvard University Unexpected points in non-abelian Chabauty loci
11:00-11:30 Refreshments
11:30-12:30 Kiran Kedlaya, University of California San Diego A brief history of nonabelian Chabauty
12:30-14:00 Lunch
14:00-15:00 Jennifer Balakrishnan, Boston University Quadratic Chabauty for modular curves
15:00-15:30 Refreshments
15:30-16:30 Richard Hain, Duke University Relative higher Albanese manifolds over modular curves
16:30-18:30 Welcome reception at ICMS
18:30-19:30 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
09:30-10:30 Akio Tamagawa, RIMS Kyoto A finiteness conjecture for abelian varieties over number fields (joint work with Christopher Rasmussen)
10:30-11:00 Refreshments
11:00-12:00 Amina Abdurrahman, IHES
12:00-13:30 Lunch
13:30-14:30 Christopher Rasmussen, Wesleyan University Finiteness results for heavenly elliptic curves and connections to complex multiplication
14:30-15:00 Refreshments
15:00-16:00 Anna Cadoret, Sorbonne University On the trivial locus of p-adic local systems
16:00-16:30 Refreshments
16:30-17:30 Romyar Sharifi, University of California, Los Angeles (remote talk) Eisenstein cocycles and their specializations
WEDNESDAY 27 November 2024
09:30-10:30 David Jordan, University of Edinburgh Langlands duality for skein modules of 3-manifolds
10:30-10:45 Refreshments
10:45-11:45 Xenia de la Ossa, University of Oxford On the arithmetic of Calabi-Yau manifolds
11:45-12:00 Refreshments
12:00-13:00 Ishai Dan-Cohen, Ben Gurion University Towards p-adic periods in Chabauty-Kim theory
13:00 Lunch
THURSDAY 28 November 2024
09:30-10:30 Fabrizio Andreatta, Università degli Studi di Milano A p-adic version of a Theorem of Narasimhan and Seshadri
10:30-11:00 Refreshments
11:00-12:00 Mahesh Kakde, Indian Institute of Science
12:00-13:30 Lunch
13:30-14:30 Sug Woo Shin, UC Berkeley The local intertwining relation
14:30-15:00 Refreshments
15:00-16:00 Padma Srinivasan, Boston University An algebraic cycle associated to a curve in its Jacobian
16:00-16:30 Refreshments
16:30-17:30 Florian Pop, University of Pennsylvania (remote talk) On (birational) Section Conjectures -Old & New
19:00-21:00 Workshop dinner
FRIDAY 29 November 2024
09:30-10:30 Jeehoon Park, Seoul National University Flat F-manifolds for smooth projective complete intersection varieties
10:30-11:00 Refreshments
11:00-12:00 Magnus Carlson, Goethe University Frankfurt The étale topos reconstructs varieties over sub-p-adic fields
12:00 Lunch and End of Workshop

Sponsors and Funders:

  • CMI
  • EMS
  • ERC
  • IDIS
  • NRF