Masterclass: Proof of the geometric Langlands conjecture
University of Copenhagen
18-22 August 2025
The masterclass aims to provide an overview of the recently announced proof of the geometric Langlands conjecture with a series of lectures given by the team that proved the conjecture. An article in Quanta has already covered these developments. The timing is ideal for an event that aims to make these developments accessible to a wider mathematical audience.
All registration process has ended. We cannot answer every email inquiring late registration.
If you have registered before, fill in this form to confirm that you will come to the masterclass.
We plan to record the lectures.
Dima Arinkin (University of Wisconsin – Madison)
Dario Beraldo (University College London)
Justin Campbell (University of Chicago)
Lin Chen (Tsinghua University)
Joakim Færgeman (Yale University)
Dennis Gaitsgory (MPIM)
Andreas Hayash (Aristotle University of Thessaloniki)
Kevin Lin (University of Chicago)
Sam Raskin (Yale University)
Nick Rozenblyum (University of Toronto)
Yifei Zhao (University of Münster)
The conference/masterclass will take place at the Department of Mathematical Sciences, University of Copenhagen. See detailed instructions on how to reach Copenhagen and the conference venue.
Tickets and passes for public transportation can be bought at the Copenhagen Airport and every train or metro station. You can find the DSB ticket office on your right-hand side as soon as you come out of the arrival area of the airport. DSB has an agreement with 7-Eleven, so many of their shops double as selling points for public transportation.
A journey planner in English is available.
More information on the "find us" webpage.
We kindly ask the participants to arrange their own accommodation.
We recommend Hotel 9 Små Hjem, which is pleasant and inexpensive and offers rooms with a kitchen. Other inexpensive alternatives are Steel House Copenhagen (close to city centre), and CabInn, which has several locations in Copenhagen: the Hotel City (close to Tivoli), Hotel Scandinavia (Frederiksberg, close to the lakes), and Hotel Express (Frederiksberg) are the most convenient locations; the latter two are 2.5-3 km from the math department. Somewhat more expensive – and still recommended – options are Hotel Nora and Ibsen's Hotel.
An additional option is to combine a stay at the CabInn Metro Hotel with a pass for Copenhagen public transportation (efficient and reliable). See information about tickets & prices.
Qingyuan Bai <qb@math.ku.dk>
Robert Burklund <rb@math.ku.dk>
Florian Riedel <florian.riedel@pm.me>

“Demazure tells us that, behind this terminology [pinning], there's the image of the butterfly (provided to him by Grothendieck): the body is a maximal torus T, the wings are two opposite Borel subgroups with respect to T, we unfold the butterfly by spreading the wings, then we fix elements in the additive groups (pins) to rigidify the situation (i.e., to eliminate automorphisms).” (SGA 3, XXIII, p.177, new edition.)