Quotient of commuting scheme and Hitchin Fibration

报告人：Santosha Pattanayak (IIT Kanpur)

Some polyhedral approaches to birational geometry

报告人：Karim Adiprasito (IMJ-PRG)

Foundations for derived analytic and differential geometry

报告人：Kobi Kremnitzer (University of Oxford)

Recent developments in the minimal model program for Kähler varieties

报告人：Omprokash Das (Tata Institute of Fundamental Research)

Classification of smooth Fano threefolds in positive characteristic

报告人：Hiromu Tanaka (The University of Tokyo)

On the Minimal Model Program for foliations

报告人：Paolo Cascini (Imperial College London)

Modern Algebraic Geometry Workshop

Modern Algebraic Geometry Workshop 2026-06-05Venue: B725, Shuangqing Complex Building AZoom Meeting ID: 262 865 5007Passcode: YMSCRecording: https://cloud.tsinghua.edu.cn/d/c17fbe549ec94dd2aa42/ Time: 10:00-11:00Speaker: Joaquín Moraga (UCLA)Title: Characterization of toric varieties and products of projective varietiesAbstract: There are dozens of different characterizations of the projective ...

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Conference on Algebraic Geometry 代数几何研讨会

This conference is a lasting pilgrimage for the international mathematics community. Each year, we gather to map the changing landscape of algebraic geometry, share groundbreaking discoveries that expand the frontiers of our field, and build collaborations that will shape its future. From the deepest theoretical foundations to the most unexpected intersections with other areas, this gathering acts as the heartbeat of discovery and discussion.We meet each year not only to present but also to engage in the ongoing collective advancement of knowledge. Join us at the Tsinghua Sanya International Mathematics Forum as we once again come together to explore, question, and be inspired.

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代数几何会议Algebraic Geometry Workshop

Organizer：Caucher Birkar, Mao ShengDate: Oct.16-Oct18Venue: Bimsa A6101Zoom ID: 262 865 5007Password：YMSCSpeakers1. Jingjun Han (Fudan University)2. Santai Qu（University of Science and Technology of China）3. Baohua Fu（Chinese Academy of Science）4. Mihai Paun (Universität Bayreuth)5. Zuo Kang（Wu Han University）6. Arthur Ogus（University of California, Berkeley）7. Qizheng Yin（Peking Uni...

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Moduli Spaces in Mathematics Workshop & Conference

Workshop:4-5 April 2023Organisers：Jungkai Chen, Keiji Oguiso, De-Qi ZhangTime：2023.4.4-2023.4.5 Speakers: ·Caucher Birkar（Tsinghua University）·János Kollár（Princeton University UTC-4）·Yongnam Lee（KAIST UTC+9）·Shigeru Mukai（Kyoto University UTC+9） / Conference:6-7 April 2023Organisers：Caucher Birkar, Ivan FesenkoTime： 2023.4.6-2023.4.7

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代数几何国际会议

Organizer: Caucher Birkar, Artan Sheshmani

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腾冲科技论坛

腾冲科学家论坛系列活动——院士走进腾冲一中 带去科普饕餮盛宴

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Birational Geometry I (2026)

任课教师 Speaker: Caucher Birkar时间 Time: Every Friday 13:30-15:05 2026-02-27 ~ 06-12地点 Venue: Lecture Hall B725, Shuangqing Complex Building A(清华大学双清综合楼A座B725报告厅) Notes: https://cloud.tsinghua.edu.cn/f/fbfdc137d7e64a45959a/课程描述 DescriptionThis year-long course is an introduction to birational geometry, a central area of algebraic geometry.The aim is to introduce some ...

报告人：Caucher Birkar

Birational Geometry I (2024)

任课教师 Speaker: Caucher Birkar时间 Time: Every Friday 13:30-15:05 2023-9-13 ~ 12-27地点 Venue: Lecture Hal B725, Shuangqing Complex Building A(清华大学双清综合楼A座B725报告厅) Notes: https://cloud.tsinghua.edu.cn/f/fbfdc137d7e64a45959a/课程描述 DescriptionThis year-long course is an introduction to birational geometry, a central area of algebraic geometry.The aim is to introduce some of the...

报告人：Caucher Birkar

Explicit birational geometry

时间 Time：Tuesdays & Thurdays, 9:50-11:25 am, May 7-July 11,2024 / 地点 Venue：Lecture Hal B725, Shuangqing Complex Building A / 课程日期：2024-05-07~2024-07-11

报告人：Florin Ambro (Institute of Mathematics of the Romanian Academy)

Boundedness of complements for fibered Fano threefolds in positive characteristic

In this paper, we prove Shokurov's conjecture on boundedness of complements for Fano type threefold pairs (X,B) with fibration structures in large characteristics. In particular, we prove the conjecture when −(KX+B)≢0 is nef and not big in large characteristics.

报告人：Xintong Jiang

Failure of Boundedness for Generalised Log Canonical Surfaces

In this paper, we construct counterexamples to the boundedness of generalised log canonical models of surfaces with fixed appropriate invariants, where the underlying varieties can have arbitrary Kodaira dimension. This answers a question of Birkar and the first author.

报告人：Christopher Hacon, Xiaowei Jiang

Boundedness of polarized log Calabi-Yau fibrations with bounded bases

We investigate the boundedness problem for log Calabi-Yau fibrations whose bases and general fibers are bounded. We prove that the total spaces of log Calabi-Yau fibrations are bounded in codimension one after fixing some natural invariants. We also prove that the total spaces are bounded if, in addition, the irregularity of the general fibers vanishes. Then we apply our results to the boundedness problem for stable minimal models and fibered Calabi-Yau varieties.

报告人：Xiaowei Jiang, Junpeng Jiao, Minzhe Zhu

Singularities on Fano fibrations and beyond

In this paper we investigate singularities on fibrations and related topics. We prove a conjecture of Shokurov and McKernan on singularities on Fano type fibrations and a conjecture of the author on singularities on log Calabi-Yau fibrations. From these we derive a variant of a conjecture of McKernan and Prokhorov on rationally connected varieties with nef anti-canonical divisor. We discuss other applications including existence of bounded klt complements and gonality of fibres of del Pezzo fibrations. We prove a general result on controlling multiplicities of fibres of certain fibrations (not necessarily of Fano type) which is the key ingredient of the proofs of the above results.

报告人：Caucher Birkar

Moduli of algebraic varieties

We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira dimension. We define stable minimal models and construct their projective coarse moduli spaces under certain natural conditions. This can be applied to a wide range of moduli problems in algebraic geometry.

报告人：Caucher Birkar

Seminar series on Fano varieties, singularities, and related topics

Time：Every Thursday, 7 March - 23 May, 2024 / Zoom Meeting ID: 262 865 5007 / Passcode: YMSC

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