Transcendental base-point freeness and minimal models for projective varieties

Date: February 21, 2025Time: 15:30-16:30Venue: Lecture Hal B725, Shuangqing Complex Building A (清华大学双清综合楼A座B725报告厅)Zoom Meeting ID: 262 865 5007Passcode: YMSC

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

Pluricanonical fibrations and automorphism groups of compact complex manifolds

Time: 15:30-16:30Venue: Lecture Hal B725, Shuangqing Complex Building A (清华大学双清综合楼A座B725报告厅)Zoom Meeting ID: 262 865 5007Passcode: YMSC

报告人：Constantin Shramov (HSE University)

Minimal Surfaces and Alternating Multi-Zetas

Time: 15:30-16:30Venue: Lecture Hal B725, Shuangqing Complex Building A (清华大学双清综合楼A座B725报告厅)Zoom Meeting ID: 262 865 5007Passcode: YMSC

报告人：Lynn Heller (BIMSA)

A stacky approach to linearisation of non-resonant vector fields

Time: 15:30-16:30Venue: Lecture Hal B725, Shuangqing Complex Building A (清华大学双清综合楼A座B725报告厅)Zoom Meeting ID: 262 865 5007Passcode: YMSC

报告人：Bongiorno Federico (YMSC)

On Smooth Projective Manifolds with Topological Circle Bundle Structures

Time: 15:30-16:30Venue: Lecture Hal B725, Shuangqing Complex Building A (清华大学双清综合楼A座B725报告厅)Zoom Meeting ID: 262 865 5007Passcode: YMSC

报告人：Feng Hao (Shandong University)

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)

The relative minimal model program for excellent algebraic spaces and analytic spaces in equal characteristic zero

Time: 15:30-16:30 / Venue: Tsinghua West Stepping Classroom / Zoom Meeting ID: 455 260 1552 / Passcode: YMSC

报告人：Takumi Murayama (Purdue University)

Generalized complexity and Mukai’s type conjecture

Time: 15:30-16:30 / Venue: Tsinghua West Stepping Classroom / Zoom Meeting ID: 455 260 1552 / Passcode: YMSC

报告人：Yoshinori Gongyo (The University of Tokyo)

CM minimization and special K-stability

Time: 15:30-16:30 / Venue: Tsinghua West Stepping Classroom / Zoom Meeting ID: 455 260 1552 / Passcode: YMSC

报告人：Masafumi Hattori (Kyoto University)

代数几何研讨会 Conference on Algebraic Geometry

This conference aims to review recent advances in algebraic geometry. We seek to establish connections across various areas such as birational geometry, moduli theory, enumerative geometry, and related topics, with the goal of promoting further collaboration between these areas.

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A Celebration of Fano Varieties and Singularities

The purpose of this workshop is to celebrate the final day of the Tsinghua seminar series on Fano varieties and singularities and related topics.Date: May 23rdZoom ID: 262 865 5007Passcode: YMSC1:30pm – 2:30pm Yu ZouTitle: Singularities on Fano fibrations: proof of remaining results3:00pm – 4:00pm Florin AmbroTitle: On toric Fano varieties.4:30pm – 5:30pm Caucher BirkarTitle: Singularities o...

报告人：Yu Zou, Florin Ambro, Caucher Birkar

Current Developments in Mathematics and Physics 2024数学与物理发展前沿国际会议

Organizer：Caucher Birkar, Shiu-Yuen Cheng, Kenji Fukaya, Tian-Jun Li, Kefeng Liu, Chiu-Chu Melissa Liu, Nicolai Reshetikhin, Mu-Tao Wang, Xiaokui Yang, Chenglong Yu

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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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双有理几何研讨会 Birational Geometry Workshop

Organizer：Caucher Birkar, Junpeng Jiao, Yu Zou

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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)

Birational Geometry II

Time：Every Thursday 13:30-15:05 2023-2-23 ~ 6-8地点 Venue：West Stepping Calssroom

报告人：Caucher Birkar

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

Optimal upper bounds for anti-canonical volumes of singular toric Fano varieties

Fix two positive integers d≥3 and q. We give an upper bound for anti-canonical volumes of d-dimensional 1q-lc toric Fano varieties, which corresponds to an upper bound for the dual normalized ...

报告人：Yu Zou

Sheaf stable pairs, Quot-schemes, and birational geometry

In this paper we build bridges between moduli theory of sheaf stable pairs on one hand and birational geometry on the other hand. We will in particular treat moduli of sheaf stable pairs on smooth projective curves in detail and present some calculations in low degrees. We will also outline problems in various directions.

报告人：Caucher Birkar, Jia Jia, Artan Sheshmani

On the cone conjecture for certain pairs of dimension at most 4

In this paper, by running MMP and considering the anti-canonical fibration, we prove the Morrison-Kawamata cone conjecture for klt Calabi-Yau pairs (X,Δ) such that dim X is at most 4, and the Iitaka dimension κ(X,−K_X) is at least dimX−2.

报告人：Fulin Xu

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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