Introduction
The Tsukuba Workshop for Young Mathematicians has been held annually in Tsukuba since 2008.
The purpose of this workshop is for students studying mathematics at Asian universities to interact, and for young mathematicians to give research presentations.
「Tsukuba Workshop for Young Mathematicians (TWYM) 」は2008年から毎年つくば市で開催されている研究集会です．
若手数学者の研究発表とアジアの大学の学生との交流を目的としています．
We sincerely appreciate guest speakers attending our workshop during COVID-19 situation.
新型コロナウイルスにより大変な状況の中，ゲストスピーカーとしてご参加いただいた方々に心より感謝申し上げます．
Guest Speakers (ゲストスピーカー)
Speaker : Weiguang Cao
Title : Spectrum Degeneracies in models with O(N) symmetry from Quantum Evanescence
Abstract :
In this talk, I will identify degeneracies in the energy spectra of quantum theories that occur at integer values of the continuous parameter N of an analytically continued global O(N) symmetry. I will first present a few examples in the critical O(N) CFT at the Wilson-Fisher fixed point (d=4-epsilon) at the first order of epsilon-expansion. Then I will argue the degeneracies happen for general theories with O(N) symmetry by analytically continuing the character of irreducible representation (irrep) of O(N) and then matching the partition function at integer values of N. We give a specialization rule of the character of continued irreps of O(N) for every integer N. The degeneracies are enforced by the requirement that evanescent states, carrying different irreps of the analytic continuation of O(N), fall out of the spectrum in the partition function via pair annihilation. Therefore the degeneracies also hold non-perturbatively.
Link of YouTube : https://youtu.be/z1sORuZD_yY
Speaker : Xiaokun Xia
Title : Reflection vectors for semi-simple Frobenius manifolds
Abstract :
Let $X$ be a smooth projective variety with a semi-simple quantum cohomology. It is known that the blowup $\operatorname{Bl}_{\rm pt}(X)$ of $X$ at one point also has semi-simple quantumcohomology. In particular, the monodromy group of the quantum cohomology of $\operatorname{Bl}_{\rm pt}(X)$ is a reflectiongroup. We found explicit formulas for certain generators of the monodromy group of the quantum cohomology of $\operatorname{Bl}_{\rm pt}(X)$ depending only on the geometry of the exceptional divisor.
Link of YouTube : https://youtu.be/2mxFOiFMSDA
Details
Dates (日付)
February 6th-19th, 2024
2024年2月6日（火）～19日（月）
Venue (開催方法)
This workshop will be held online, available on Youtube. The videos can be viewed during the dates above.
この研究集会はオンデマンド形式で行います (Youtube で公開)．動画の公開期間は上記日付の通りです．
Organizers (世話人)
・Kato Ryo (加藤 諒, rkato_at_math.tsukuba.ac.jp)
・Takahashi Mizuki (高橋 瑞季, m.nakahara_at_math.tsukuba.ac.jp)
Advisors (アドバイザー)
・Kisen Tan (譚 煕川)