コロラド州立大学のBen Knudsen先生の講演が下記の日程で行われます。

日時：2026年1月5日（月）、8日（木）　各10：30～11：30
場所：理学研究科３号館127室

1月5日（月）
Title: An invitation to graph braid groups

Abstract: For the past 20 years, configuration spaces of graphs have been studied intensively in algebraic topology, geometric group theory, topological robotics, and algebraic geometry. Nevertheless, there are many questions unanswered and much work to be done. This talk will survey the fundamental results and open questions in this area, assuming no prior familiarity. Depending on time, we may touch on some past, present, and future joint work with An, Drummond-Cole, and Ramos.

1月8日（木）
Title:
Representation asymptotics in the homology of pure graph braid groups

Abstract:
The homology groups of the unordered configuration spaces of a graph form a finitely generated module over the polynomial ring generated by its edges; in particular, each Betti number is eventually equal to a polynomial in the number of particles, an analogue of classical homological stability. Wishing to lift this result to an analogue of representation stability, one encounters the unavoidable fact that the corresponding algebraic structure at the level of ordered configuration spaces is non-Noetherian. Thus, finite generation results are likely to be neither useful nor within easy reach. Drawing on ideas from twisted algebra and factorization homology, we circumvent this obstacle to give a complete asymptotic calculation of the Betti numbers of pure graph braid groups over any field and, in characteristic zero, of the multiplicities of many irreducible representations of the symmetric groups. This talk represents joint work with Hainaut and Wawrykow, building on joint work with An and Drummond-Cole.

・本学の学生は申込不要です。
・本講演は京都大学のスーパーグローバル教育プログラム、スーパーグローバルコース（数学分野）の
企画講演です。
当コースについての詳細は　https://www.math.kyoto-u.ac.jp/ja/ktgu/ktgu　をご覧ください。