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Modern Perspectives on Birational Geometry
Aim & Scope
Aim & Scope
Birational geometry has been central in shaping the developments of algebraic geometry since the 19th century. Many fundamental problems and breakthroughs revolve around the birational types of algebraic varieties as well as birational transformations, such as the minimal model program, resolution of singularities, factorizations of birational maps, K-equivalences, amongst many others.
Progress made in birational geometry builds primarily upon the many beautiful and explicit examples and constructions, such as explicit studies of del Pezzo surfaces and Fano threefolds, examples of simple birational transformations (e.g. simples flops or K-equivalences), rationality constructions of certain cubic fourfolds, to name but a few. They make birational geometry an inexhaustive area of research, and nourish new perspectives and techniques that keep emerging in the field. The main aim of this conference is to bring together the experts in birational geometry working in various domains, but sharing interests in the explicit aspect of it.
Dates and Location
Dates and Location
Mini-courses: July 29 - July 30, 2023
Conference: July 31 - August 4, 2023
Venue: R515, Cosmology Bldg., National Taiwan University + Online
Invited Speakers
Invited Speakers
Mini-courses Lecturers:
Dan Abramovich (Brown University)
Shigeru Mukai (RIMS, Kyoto university)
Yuri Prokhorov (Steklov Institute)
Conference Speakers:
Hamid Abban (University of Nottingham)
Caucher Birkar* (Tsinghua University)
Liana Heuberger (University of Bath)
Dmitry Kaledin (HSE University & Steklov Institute)
Konstantin Loginov (HSE University & Steklov Institute)
Steven Lu (Université du Québec à Montréal)
Gebhard Martin (University of Bonn)
Mirko Mauri (IST Vienna)
Keiji Oguiso (University of Tokyo)
Jihun Park (Pohang University of Science and Technology)
Marco Rampazzo (University of Bologna)
Francesco Russo (University of Catania)
Julia Schneider (EPFL)
Nicholas Shepherd-Barron (King's College London)
Constantin Shramov (HSE University & Steklov Institute)
Jenya Tevelev** (UMass Amherst)
Jaroslaw Wlodarczyk (Purdue University)
* online, ** TBC
Title & Abstract of Mini-courses
Title & Abstract of Mini-courses
A.
Lecturer: Dan Abramovich (Brown University)
Abstract: TBA
B.
Lecturer: Shigeru Mukai (RIMS, Kyoto university)
Abstract: TBA
C. Rationality problem for conic bundles.
Lecturer: Yuri Prokhorov (Steklov Institute)
Lecture I: Surface conic bundles.
Abstract: I will overview the birational classification of rational surfaces over algebraically nonclosed fields.
Lecture II: Rationality criterion for surface conic bundles and its application.
Abstract: I will formulate the criterion, give the main ideas of the proofs, and discuss its applications to the rationality problem of three-dimensional conic bundles.
Title & Abstract of Conference Talks
Title & Abstract of Conference Talks
TBA
Organizing Committee
Organizing Committee
Jungkai Chen (National Taiwan University & NCTS)
Hsueh-Yung Lin (National Taiwan University & NCTS)
Evgeny Shinder (University of Sheffield)
Hotel Reservation
Hotel Reservation
The NCTS reserved without paying 40 single room for international participants (1950 NTD per day, breakfast included). Please kindly refer to the following reservation form to make the reservation by Jun. 11,2023 and email it back to Howard Interantional House.
Howard International House Reservation Form Download
We will provide accommodation support for a limited number of participants. Please apply through the registration form, we will inform you the outcome shortly after the registration deadline.
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