Welcome to the 3rd 3J Topology Seminar
The 3rd 3J Topology Seminar will be held at 天津南开大学 from Mar. 13-15, 2020 (the 2rd weekend of March), hosted by School of Mathematical Sciences, Nankai University(南开大学数学科学学院).
The seminar will be paperless. All the information about the seminar, including Talk Schedule, Abstracts of talks, Travel and accommodation, Dining arrangement, and Reimbursement Information, will be released at this page.
Message Board
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Program
(Algebraic topology of Lie groups and combinatorics）
All talks will take place in (数学院？楼？教室)
| Mar. 13, Friday | Mar. 14, Saturday | Mar. 15, Sunday | |
|---|---|---|---|
| ? - ? | Breakfast | Breakfast | |
| 8:55 - 9:00 | Opening | ||
| Chair | |||
| 9:00 - 09:50 | Haibao Duan(1) | Feifei Fan (1) | |
| 9:50 - 10:20 | Tea Break | Tea Break | |
| 10:20 - 11:10 | Full-day Registration | Haibao Duan(2) | Feifei Fan (2) |
| 11:10-11:40 | Tea Break | Tea Break | |
| 11:40-12:30 | Xuezhi Zhao | Feifei Fan (3) | |
| 12:30-14:30 | Lunch | Lunch | |
| 14:30-15:20 | Changzheng Li | Free discussion/Leave | |
| 15:20- | Full-day Free discussion | Free discussion | |
| 18:00 | Dinner | Dinner |
Talks
- Haibao Duan (AMSS)
Title: On Schubert’s problem of characteristics
Abstract: Schubert calculus is the intersection theory of the 19th century, together with applications to enumerative geometry. In 1886 Schubert proposed “the problem of characteristics”, and regarded it as the main theoretic problem of enumerative geometry.
In this talk we review the origin of the problem, present a unified formula solving the problem, and discuss the algorithm structure of the formula.
- Xuezhi Zhao (CNU)
Title: 旗流形上同调环的结构及计算
Abstract: 在此报告中，我们将讨论复半单李群所对应旗流形的上同调环结构。人们已经知道它是多元多项式的商环，然而它们的完整的“最优”表述，特别是几个例外李群的情形一直是一个困难。这里，我们试图从理论、计算、及应用等方面讨论一下，何谓“优”，及“优化”的方法意义，及目前的结果。我们也说明一下与大规模复杂计算相关的论题：Grobner基理论（吴方法），最短向量问题等。
- Changzheng Li (SYSU)
Title: Euler characteristics in the quantum K-theory of flag varieties
Abstract: In this talk, we will discuss the sum of the Schubert structure coefficients in the (equivariant) quantum K-theory of flag varieties G/P. We will show that the sheaf Euler characteristic of the (torus-equivariant) quantum K-product of a Schubert class and an opposite Schubert class is equal to q^d, where d is the smallest degree of a rational curve joining the two Schubert varieties. Along the way, we provide a description of the smallest degree d in terms of its projections to flag varieties defined by maximal parabolic subgroups. This is my joint work with Anders Buch, Sjuvon Chung and Leonardo Mihalcea.
- Feifei Fan (SYSU)
Title: TBA
Abstract: TBA
Travel and accommodation
地址: 天津汇高花园酒店
南开区白堤路236号增1号
南开大学西门对面
酒店-数学院路线：这个家伙很懒，什么都没有留下！
(If you use Baidu or Gaode map, you do not need this)
Dining arrangement
- 住宿地点：天津汇高花园酒店
酒店地址：南开区白堤路236号增1号，南开大学西门对面。价格为395元/晚。 - You do not need to pay the accommodation fees if you have applied the financial support from the host.
- Lunch at Saturday and Sunday are provided at ？？
- Dinner at Friday and Saturday is provided at ？？
Reimbursement Information
To apply reimbursement from the host, please contact Professor Xiugui Liu (刘秀贵老师，xgliu@nankai.edu.cn) with the following:
- 来回火车票
Mailing Address:
天津市卫津路94号
南开大学数学科学学院
300071
刘秀贵