RFCMP2025-A

Contribution List

1. Symmetric Monoidal (∞, n)-categories

Keima Akasaka (Chiba University)

24/09/2025, 10:00

2. The (∞, n)-category of Bordisms and Topological Quantum Field Theory

Keima Akasaka (Chiba University)

24/09/2025, 13:00

3. ADHM構成法入門

Masashi Hamanaka (Nagoya University)

24/09/2025, 15:00

4. ADHM構成法のDブレーン解釈

Masashi Hamanaka (Nagoya University)

24/09/2025, 17:00

5. Anomaly cancellation in superstring theory: a review

Yuji Tachikawa (Kavli IPMU)

25/09/2025, 10:30

本講演は英語で実施されます．

6. Anomaly cancellation in superstring theory: a review

Yuji Tachikawa (Kavli IPMU)

25/09/2025, 13:00

本講演は英語で実施されます．

7. Cobordism hypothesis and three-dimensional TQFTs

Masaki Natori (Tokyo University)

25/09/2025, 15:00

8. Cobordism hypothesis and three-dimensional TQFTs

Masaki Natori (Tokyo University)

25/09/2025, 17:00

9. Introduction to factorization algebras

Yusuke Nishinaka (Nagoya University)

26/09/2025, 10:00

14. Factorization envelopes and enveloping vertex algebras

Yusuke Nishinaka (Nagoya University)

26/09/2025, 13:00

18. ADHM 構成法のDブレーン解釈

Dブレーンとは弦理論のソリトンの一つで、その上にゲージ理論が定義される。２種類のDブレーンをうまく組み合わせると、ADHM構成法・Nahm構成法などが再現される。この講演では、Dブレーン上のゲージ理論に関するいくつかの事実を紹介し、それを基にADHM構成法のDブレーン解釈を説明する。余裕があれば非可換空間への拡張やBPSモノポールのNahm構成についても触れる。

17. ADHM 構成法入門

Atiyah-Drinfeld-Hitchin-Manin (ADHM)構成法とは、反自己双対(ASD)ヤン・ミルズ方程式のインスタントン解(大域解の一つ)を線形代数の手法で求める方法である。これはインスタントン・モジュライ空間とADHMモジュライ空間の１対１対応に基づく。(ここでモジュライ空間とは解空間をある自由度で割ったもの。) この講演では、Fourier-Mukai-Nahm変換の視点から、4次元ユークリッド空間上インスタントンについてこの１対１対応の理由を説明し、インスタントン解のADHM構成を詳しく紹介する。余裕があれば非可換空間への拡張やBPSモノポールのNahm構成についても触れる。

15. Anomaly cancellation in superstring theory: a review

Anomalies in superstring theories are known to cancel via subtle mechanisms. We begin with the standard perturbative anomaly cancellation, which works uniformly across all theories.
We then move on to the discussion of the global anomaly cancellation, whose mechanism varies depending on the type of superstring theories in question.

19. Cobordism hypothesis and three-dimensional TQFTs

The cobordism hypothesis, proposed by Baez and Doran, states that a fully extended topological quantum field theory (TQFT) corresponds to a fully dualizable object of the target category as the image of a point. A sketch of a proof has been announced by Lurie, but a complete rigorous proof has not yet been published. In this talk, I will explain the statement concerning the cobordism category...

20. Cobordism hypothesis and three-dimensional TQFTs

As a concrete example to which the cobordism hypothesis applies, one can mention the 3-dimensional TQFT of Turaev and Viro. This theory constructs a TQFT from a given spherical fusion category. In fact, a spherical fusion category gives rise to a 3-dimensional TQFT because it determines a fully dualizable object in a certain 3-category. In this talk I will explain this construction, and, time...

16. Introduction to (∞,n)-categories

The goal of my two-part lecture series is to explain the definition of a (framed) topological quantum field theory (TQFT). A TQFT is defined as a symmetric monoidal functor from the $(\infty,n)$-category $\mathrm{Bord}_{n}^{\mathrm{fr}}$ of framed bordisms.
In the first lecture, we will introduce the foundational concepts of (symmetric monoidal) $(\infty,n)$-categories, setting the stage for...