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Colloquium

Title

Limit shapes of random Young diagrams and spin representations of symmetric groups

Date

2024.6.5 (Wed) 16:45-17:45 (16:15- tea)

Place

Rm110, Bldg no. 3, Graduate School of Science, Kyoto University

Speaker

Sho Matsumoto (Kagoshima University)

Abstract

 The Plancherel measure of the symmetric group gives the most basic random Young diagram. The limit shape of Plancherel Young diagrams is well known as the Logan--Shepp--Vershik--Kerov curve. Philippe Biane obtained results on the derivation of limit shapes using free cumulants for a wider class of random Young diagrams. In this colloquium, Biane's result will be the main focus of the presentation. Furthermore, we touch upon the limit shapes of random Young diagrams determined from spin representations of symmetric groups, obtained in collaboration with Piotr \'Sniady and the speaker.

Comment

Title

The study of reduction and finiteness

Date

2024.5.29 (Wed) 16:45-17:45 (16:15- tea)

Place

Rm110, Research Institute for Mathematical Sciences, Kyoto University

Speaker

Teppei Takamatsu (Kyoto University)

Comment

Title

Doing algebra with paths in place of equalities

Date

2024.5.22 (Wed) 16:45-17:45 (16:15- tea)

Place

Rm110, Bldg no. 3, Graduate School of Science, Kyoto University

Speaker

Yuki Maehara (Kyoto University)

Abstract

 The usual definition of associativity simply states that (ab)c = a(bc)holds for any triple a, b, and c. However, when we use associativity in practice, often our products have more than three factors. When one is working in a context where the natural notion of sameness is not that of equality, this discrepancy becomes a serious issue and one is forced to consider "higher" associativity. (For example, the fundamental group of a topological space enjoys a shadow of this sort of associativity.) In this talk, I will explain how category theory may be used to deal with such "higher" algebra.

Comment This talk will be held in English.

Title

Higher-rank skein algebras and quantum cluster algebras

Date

2024.5.15 (Wed) 16:45-17:45 (16:15- tea)

Place

Rm110, Research Institute for Mathematical Sciences, Kyoto University

Speaker

Wataru Yuasa (Kyoto University)

Comment

Title

Quasi-F-splitting and birational geometry in positive characteristic

Date

2024.5.8 (Wed) 16:45-17:45 (16:15- tea)

Place

Rm110, Bldg no. 3, Graduate School of Science, Kyoto University

Speaker

Tatsuro Kawakami (Kyoto University)

Comment

Title

Scheduling recurring tasks

Date

2024.4.24 (Wed) 16:45-17:45 (16:15- tea)

Place

Rm110, Research Institute for Mathematical Sciences, Kyoto University

Speaker

Akitoshi Kawamura (Kyoto University)

Comment

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