Home /  Connections Workshop: Algebraic Cycles, L-Values, and Euler Systems


Connections Workshop: Algebraic Cycles, L-Values, and Euler Systems January 19, 2023 - January 20, 2023
Registration Deadline: January 27, 2023 over 1 year ago
To apply for Funding you must register by: October 19, 2022 over 1 year ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Henri Darmon (McGill University), Ellen Eischen (University of Oregon), Benjamin Howard (Boston College), LEAD Elena Mantovan (California Institute of Technology)

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Portrait pure
David Lowry-Duda. Modular form of weight 32 and level 3. For details, see http://davidlowryduda.com/trace-form/
This will be a hybrid workshop with both in-person and virtual participation. This workshop is held in honor of mathematician Bernadette Perrin-Riou. Bernadette Perrin-Riou, one of the pioneering figures in Iwasawa Theory in the 1990s, is widely acclaimed for the influential ideas she has brought to the subject. Her deep study of the Euler system originally constructed by Kato led to the introduction of her fundamental "big logarithm map" (often referred to as the "Perrin-Riou map" nowadays), which is a far reaching generalisation of the Coleman power series and is one of the key ingredients in establishing links between Euler systems and p-adic L-functions. Her work also initiated the study of higher rank Euler systems and has been a source of inspiration for many further developments in this direction. Likewise, her p-adic analogue of the Gross-Zagier formula has opened up an area of inquiry that remains active and fertile to the present day. All these, as well as many other important contributions of Perrin-Riou, continue to serve as a model and a guide for today's research in Iwasawa Theory. This workshop is therefore dedicated to the celebration of her 68th birthday. The Connections Workshop features presentations by both leading researchers and promising newcomers whose research has contact with the interrelated topics of algebraic cycles, L-values, and Euler systems. The goal is to present a variety of diverse results, so as to forge new connections, foster collaborative projects, and establish mentoring relationships. While emphasis will be placed on the work of women mathematicians, the workshop is open to all researchers.
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Jan 19, 2023
09:15 AM - 09:30 AM
09:30 AM - 10:30 AM
  Local/Global Trace Relations on Elliptic Curves and Related Statistical Results
Mirela Ciperiani (University of Texas, Austin)
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  Unramifiedness of Galois Representations Associated to Hilbert Modular Varieties
Si Ying Lee (Max-Planck-Institut für Mathematik)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  L-Polynomials of Jacobians of Curves in Unitary Shimura Varieties
Rachel Pries (Colorado State University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Green’s Functions for Local Systems Over Graphs
Boya Wen (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath))
04:30 PM - 05:30 PM
  Panel Discussion
06:30 PM - 08:30 PM
Jan 20, 2023
09:30 AM - 10:30 AM
  Eigenvariety for Partially Classical Hilbert Modular Forms
Chi-Yun Hsu (Santa Clara University)
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  Explicit Non-Gorenstein R=T via Rank Bounds
Catherine Hsu (Swarthmore College)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  Supersingular Loci of Unitary Shimura Varieties
Maria Fox (Oklahoma State University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Duality for P-Adic Pro-Étale Cohomology of Analytic Curves
Wieslawa Niziol (Institut de Mathématiques de Jussieu)