Venue: B725, Shuangqing Complex Building A

Date: April 24, 2026

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Registration For the Algebraic Geometry Workshop 2026

https://docs.qq.com/form/page/DRXJGaU9ueGdjTFRX

Time: 09:00-10:00

Speaker: Jihao Liu (PKU)

Title: Existence of the minimal model program for log canonical generalized pairs

Abstract: In this talk, I will discuss joint work with Zhengyu Hu establishing the existence of the minimal model program for arbitrary log canonical generalized pairs. The key step is to establish the existence of flips in full generality, without assuming the klt condition, the NQC condition, or Q-factoriality. Combined with the cone and contraction theorems, this yields the existence of the minimal model program in this setting. This work completes a series of results on generalized pairs, following earlier joint works of myself with Hacon, Xie, and Chen–Han–Xie on the Q-factorial or NQC cases. I will explain the main theorem, the main ideas of the proof — in particular the introduction of a new class of generalized pairs, namely LD generalized pairs — and briefly discuss some future directions.

Time: 10:15-11:15

Speaker: Guolei Zhong (ECNU)

Title: Kawaguchi-Silverman conjecture for int-amplified endomorphism

Abstract: Let $f$ be a surjective endomorphism of a smooth projective variety $X$ over a number field. The Kawaguchi-Silverman conjecture asserts that given a closed point $x$ whose forward orbit is Zariski dense in $X$, the arithmetic degree of $f$ at $x$ coincides with the first dynamical degree of $f$. In this talk, based on the previous work of Meng-Zhang, I would like to verify this conjecture when $f$ has a dominant topological degree (or equivalently, $f$ is int-amplified). The key step is to show that the pathological case when $f$ has totally invariant ramifications does not occur. This is based on a joint work with Sheng Meng.

Time: 11:30-12:30

Speaker: Juanyong Wang (CAS)

Title: Fundamental groups of compact Kähler varieties with nef anti-log canonical divisor

Abstract: It is proved by M. Păun (1997, 2017) that the fundamental group of a compact Kähler manifold is almost Abelian if its anti-canonical bundle is nef, and it is expected that similar results hold for mildly singular Kähler varieties. In this talk, I will explain how we apply the recent development in the theory of Kähler RCD spaces to study this problem. This is a joint work with Xin Fu, Bin Guo and Jian Song.

Time: 15:30-16:30

Speaker: Long Wang (SIMIS)

Title: Approaches to the Kawaguchi-Silverman conjecture

Abstract: Kawaguchi and Silverman proposed a conjecture about arithmetic and dynamical degrees of dominant rational self-maps defined over number fields. There are several approaches to this conjecture. I will give an overview, based on the joint work with Yohsuke Matsuzawa, and with Sheng Meng and Tianle Yang.