PKU Algebra and Combinatorics Experience 2026

Description

代数组合是一个用组合模型研究代数结构，用代数方法解决组合问题的重要研究领域，尤其与代数几何和表示论关系紧密。其具体研究方向包含舒伯特计数演算、李群李代数的表示论、热带几何、拟阵、考科斯特群、多面体等。为激发优秀本科生科研兴趣，培养代数组合领域拔尖人才，北京国际数学研究中心于2023年开始举办代数组合本科生暑期科研项目(PKU Algebra and Combinatorics Experience, PACE）。该活动将为有志于数学研究的优秀本科生提供浸入式的短期科研体验和长期的学习交流平台。

本科研活动采取合作讨论的研究模式，由国内外十名领域专家供题，学生自由选取感兴趣的项目进行小组合作讨论。项目结束时，每个课题小组需进行公开汇报展示；成果显著的课题小组可随即将成果投稿至学术期刊。

大合影

Mentors

PACE 2026 Week 1

Location: Room 77201, Huai Xin Yuan, BICMR 怀新园77201教室

06/29 Monday

09:00am. Gao, Yibo: Smooth Schubert varieties and hyperplane arrangements

13:00pm. Burrull, Gaston: Poincaré polynomials of singular permutations

06/30 Tuesday

09:00am. Exercise presentations

09:30am. Bhattacharya, Aritra: Positivity questions on Hall Littlewood polynomials

13:00pm. Exercise presentations

13:30pm. Gui, Tao: Stanley(–Stembridge)’s question for permutation representations on the cohomology of toric varieties

07/01 Wednesday

09:00am. Exercise presentations

09:30am. Zhang, Yuchong: Incidences in hyperbolic geometry and tilings of surfaces

13:00pm. Exercise presentations

13:30pm. Thawinrak, Warut: Minkowski sums of cross polytopes and 0-1 parking function polytopes

07/02 Thursday

09:00am. Zhang, Wenze: Doubled Knuth class and jeu de taquin for classical groups

13:00pm. Exercise presentations (long session)

07/03 Friday

09:00am. Exercise presentations

09:30am. Wang, Jidong: The matroid of matroids: combinatorics and topology

PACE 2026 Week 2

Location: Room 77201, Huai Xin Yuan, BICMR 怀新园77201教室

Exact schedules to be announced.

07/06 Monday, 07/07 Tuesday, 07/08 Wednesday, 07/09 Thursday. Paper Presentations

Accommodation

FX Hotel Zhong Guan Cun（富驿时尚酒店中关村店）

地址：北京市海淀区北四环西路68号

Address: No.68 North 4th Ring West Road (South of Haidian Bridge) Haidian District, Beijing

Tel: (China) 400 8200 868 (International) +86 21 6091 9987

Website: http://www.fxhotels.com

Transportation

Metro

(Approx. 60–80 minutes, ~30 RMB)

From Beijing Capital International Airport (PEK): Take the Airport Express to Sanyuanqiao Station, transfer to Line 10 (inner loop) to Haidian Huangzhuang Station, then transfer to Line 4 (towards Anheqiao North) and get off at Peking University East Gate Station (Exit C).

From Beijing Daxing International Airport (PKX): Take the Daxing Airport Express to Caoqiao Station, transfer to Line 19 to Mudanyuan Station, then transfer to Line 10 (outer loop) to Haidian Huangzhuang Station, and finally transfer to Line 4 (towards Anheqiao North) to Peking University East Gate Station (Exit C).

Taxi

From Beijing Capital International Airport (PEK): Approx. 45–60 minutes (100–130 RMB, depending on traffic).
From Beijing Daxing International Airport (PKX): Approx. 60–80 minutes (200–250 RMB, depending on traffic).

Dining on Campus

Admitted participants are entitled to an e-meal card. Activate it via the User Guide to dine at the Jia Yuan Dinning Hall, 1st–3rd floors.（家园食堂1-3层）

Mrs. Wenqiong Li

No.78 Jingchunyuan, Peking University,

Beijing,China 100871

E-mail: liwenqiong@bicmr.pku.edu.cn