We will gather to celebrate and showcase the spectacular advances in algebraic number theory and arithmetic geometry inspired by the vast research program of Henri Darmon. We will discuss the latest developments in the following subjects pioneered by Darmon and his collaborators:
• The construction of Stark–Heegner points and generalized Heegner
cycles, which has witnessed important applications in studying special values of L-functions and Hilbert’s 12th problem.
• The study of arithmetic cycles, including diagonal cycles and rigid meromorphic cycles, which have
been central to many important breakthroughs in arithmetic geometry in the last few years.
• Recent progress in generalizing the construction of the p-adic L-function of Bertolini–Darmon–Prasanna to new settings and potential applications towards the Birch and Swinnerton-Dyer conjecture, as well as Iwasawa main conjectures via arithmetic level raising techniques.
• The construction of Stark–Heegner points and generalized Heegner
cycles, which has witnessed important applications in studying special values of L-functions and Hilbert’s 12th problem.
• The study of arithmetic cycles, including diagonal cycles and rigid meromorphic cycles, which have
been central to many important breakthroughs in arithmetic geometry in the last few years.
• Recent progress in generalizing the construction of the p-adic L-function of Bertolini–Darmon–Prasanna to new settings and potential applications towards the Birch and Swinnerton-Dyer conjecture, as well as Iwasawa main conjectures via arithmetic level raising techniques.
Location
Centre de Recherches Mathématiques
Pavillon Andre Aisenstadt
Montreal, Canada
Pavillon Andre Aisenstadt
Montreal, Canada
DatES
August 18, 2025 - August 22, 2025
Speakers
Claudia Alfes • Bielefeld University
Daniel Barrera Salazar • Universidad de Santiago de Chile
Lea Beneish • University of North Texas
Massimo Bertolini • University of Duisburg-Essen
Pierre Charollois • Sorbonne Université
Mirela Ciperiani* • University of Texas at Austin
Lassina Dembele • King's College London
Michele Fornea • Centre de Recerca Matemàtica, Barcelona
Lennart Gehrmann • Bielefeld University
Giada Grossi • Université Sorbonne Paris Nord
Ozlem Imamoglu • ETH Zürich
Alan Lauder* • University of Oxford
Zheng Liu • University of California, Santa Barbara
Isabella Negrini • University of Toronto
Kartik Prasanna • University of Michigan
Victor Rotger • Universitat Politècnica de Catalunya
Eugenia Rosu • Mathematical Institute, Leiden University
Christopher Skinner* • Princeton University
Naomi Sweeting • Harvard University
Matteo Tamiozzo • Université Sorbonne Paris Nord
Ye Tian • Morningside Center of Mathematics
Akshay Venkatesh* • Institute for Advanced Study
Sarah Zerbes • ETH Zürich
* = to be confirmed
Daniel Barrera Salazar • Universidad de Santiago de Chile
Lea Beneish • University of North Texas
Massimo Bertolini • University of Duisburg-Essen
Pierre Charollois • Sorbonne Université
Mirela Ciperiani* • University of Texas at Austin
Lassina Dembele • King's College London
Michele Fornea • Centre de Recerca Matemàtica, Barcelona
Lennart Gehrmann • Bielefeld University
Giada Grossi • Université Sorbonne Paris Nord
Ozlem Imamoglu • ETH Zürich
Alan Lauder* • University of Oxford
Zheng Liu • University of California, Santa Barbara
Isabella Negrini • University of Toronto
Kartik Prasanna • University of Michigan
Victor Rotger • Universitat Politècnica de Catalunya
Eugenia Rosu • Mathematical Institute, Leiden University
Christopher Skinner* • Princeton University
Naomi Sweeting • Harvard University
Matteo Tamiozzo • Université Sorbonne Paris Nord
Ye Tian • Morningside Center of Mathematics
Akshay Venkatesh* • Institute for Advanced Study
Sarah Zerbes • ETH Zürich
* = to be confirmed
Parallel Meeting
There will be joint (virtual) activities with the René 25 conference that will take place in Tahiti during the same week.
Please click visit https://rene25.gaati.org/about/ for further details about this conference in honor of René Schoof.
Please click visit https://rene25.gaati.org/about/ for further details about this conference in honor of René Schoof.
Organizing Committee
Francesc Castella • University of California, Santa Barbara
Samit Dasgupta • Duke University
Eyal Goren • McGill University
Adrian Iovita • Concordia University
Antonio Lei • University of Ottowa
Alice Pozzi • University of Bristol
Giovanni Rosso • Concordia University
Jan Vonk • Leiden University
Samit Dasgupta • Duke University
Eyal Goren • McGill University
Adrian Iovita • Concordia University
Antonio Lei • University of Ottowa
Alice Pozzi • University of Bristol
Giovanni Rosso • Concordia University
Jan Vonk • Leiden University
Sponsors
