Download Workshop on Geometry and Physics 2017 Feb 25

Workshop on Geometry and Physics
2017
Feb 25-Mar 1, 2017, Sun Yat-sen University
Purpose:
This workshop consists of two relatively independent parts. As one part, there is one mini-course, aiming to enlarge the
scope of graduate students as well as advance undergraduate students. As the other part, there are a few conference talks,
aiming to bring together researchers to communicate on recent progress in algebraic/symplectic geometry, mathematical
physics and related topics.
In contrast to the usual workshop, we encourage the speaker to talk more about the background and the aim/difficulty on
what he/she is doing. The first 20 minutes of each conference talk should be acceptable to general audience. We also encourage
the general participants NOT to attend all the conferences talks, but attend a few talks or part of some talks which are
of great interest to themselves. For the technical part of less interest, some audience may leave freely, even though
there is no break. As a general criteria to us, the more like an informal discussion, the better the conference talk is.
There were workshops on "Mirror Symmetry and Quantum Field Theory" of similar style organized by Qin LI (SUSTC). This
workshop is a continuation of exploring a good way to bring potential collaborations among the participants.
Organizers:
HU, Jianxun
(Sun Yat-sen University)
LI, Changzheng (Sun Yat-sen University)
Speakers:
BAE, Hanwool
KE,
Huazhong
LEUNG, Naichung Conan
SHENG, Mao
(Seoul National University, Korea)
(Sun Yat-sen University, China)
(Chinese University of Hong Kong)
(University of Science and Technology of China)
WU, Siye
(National Tsing Hua University)
YOUNG, Matthew
(Chinese University of Hong Kong)
(*: The talk by Prof. Siye Wu is also the 1st GAGP seminar @ SYSU.)
Program:
February 25 (Saturday)
Morning: Joint activities among (graduate) students from Chinese University of Hong Kong and Sun Yat-sen University
For students who are interested in attending it, please contact with Mr. Chen Song <scrainyday AT icloud.com> for more details.
Afternoon: Excursion.
Feb. 26 (Sun) Feb. 27 (Mon)
9:30-10:30
Feb. 28 (Tue)
Young
Tea Break
10:30-12:00
Leung
Leung
KE
Lunch Break
Bae
14:30-16:00
Leung
Tea Break
Tea Break
16:00-17:30
Sheng
Banquet: 18:00-20:00 (Feb. 26)
March 01 (Wednesday)
Departure day.
Wu
Free
discussions
Title and Abstracts:

A mini-course on representation theory (by N.C. Leung)
Reference: Brocker & tom Dieck, Representation of compact Lie groups
(Graduate students and advance undergraduate students are extremely encouraged to attend this mini-course!)



Kodaira Vanishing Theorem
(by Mao Sheng)
Wrapped Floer homology of cotangent fibers and quantum cohomology of G/B (by H. Bae)
Global aspects of quantum gauge theories
(by Siye Wu)
Abstract: We revisit a few aspects of gauge theories in four dimensions related to the topology of principal gauge
bundles. We found that the usual concept of
discrete electric and magnetic fluxes of 't Hooft requires a
modification when the gauge group is an arbitrary compact semisimple Lie group and when the
spatial slice is an
arbitrary compact 3-manifold. We investigate quantum gauge theory, S-duality, and dimensional reduction in light
of this adjustment.

Wall-crossing formulas and scattering diagrams (by Matthew
Young)
Abstract: Scattering diagrams were introduced by Kontsevich and Soibelman in their study of the
Strominger-Yau-Zaslow approach to mirror symmetry. After a short overview of the theory of scattering diagrams,
I will explain their connection to wall-crossing formulas, both numerical and cohomological.

New flops and quantum invariance
Ke)
(by Huazhong
Abstract:
A conjecture of Y. Ruan and C.-L. Wang states that smooth projective varieties related by flops have
isomorphic quantum cohomology rings after analytic continuation. A first step to prove this conjecture is to find
“canonical flops” to which every flop can be deformed. I will present new constructions of flops whose centers
are flag varieties. A recent result of D. Li shows that these flops lie in the list of “canonical flops” in dimension
less than six. I will also discusss the strategy and difficulty to prove the conjecture of Ruan-Wang for these flops.
Accommodations and Local information:
Hotels on campus:
SYSU hotel & Conference Center（中山大学学人馆）
Address: North gate of Sun Yat-sen University, Bingjiang Dong Road, Haizhu District, Guangzhou
Tel: 020-89222888
Website: http://www.syskaifeng.com
Zijingyuan Hotel(Expert building)（紫荆园宾馆（专家楼））
Address: Near South gate in campus, also near school of Mathematics Tel: 84111888
Contact information:
Ms. YU, Jinyun
Email:
yujin250 AT 163.com
Prof. LI, Changzheng
Email: lichangzh AT mail.edu.cn
Phone: +86-20-84111738
School of Mathematical, Sun Yat-sen University, Xingangxi Road, Haizhu, Guangzhou, 510275, China