Program
Ubiquity of root systems
Student No.:40
Time:Wed 19:00-21:00, 2017.10.11-2018.1.17
Instructor:Eduard looijenga, Zheng Zhiwei  
Place:Conference Room 1, Jin Chun Yuan West Building
Starting Date:2017-9-20
Ending Date:2018-1-17

Root System is a very important and beautiful object in mathematics, with the origin the classification of Lie groups and Lie algebras, and eventually plays an indispensable role in singularity theory. In this student seminar, we will first go through the basic concepts, including Weyl group, Cartan matrix, Dynkin Graph, etc, and give the classification of root systems. Then we will go into various related topics, namely, classification in Lie theory, Hermitian symmetric space, Mckay Correspondence, isolated singularities on complete intersections, etc. 

 

2017/12/20

Time: Wednesday 19:00-21:00, 2017.12.20

Title: Simultaneous resolution of a versal deformation of a Kleinian singularity.
Speaker: Eduard Looijenga
Abstract: This is another connection between Kleinian singularities and the simple Lie algebras of type A, D and E. We review Grothendieck's conjectures and the proof by Slodowy and Brieskorn.
 

 

 

2017/12/13

Time: 19:00-21:00, 13th Dec. 2017 (Wednesday)

Title: Isolated singular points on complete intersections
Speaker: Zhong Yiming
Abstract: I will introduce the vanishing lattice and the monodromy group in a geometric way, and discuss some of their basic properties. I may also introduce the notion of adjacency if time permits.

 

 

2017/12/06

Time: 19:00-21:00, 6th Dec. 2017 (Wednesday)

Title: Isolated singular points on complete intersections
Speaker: Zhong Yiming
Abstract: First I will introduce some basic notions and then give the classification of the simple hypersurface singularities. Then I will discuss with the notions of the vanishing lattice and the monodromy group in a geometric way.

 

 

2017/11/29

Time: 7:00-9:00pm

Title: Mckay Correspondences
Speaker: Wu Zhixiang
Abstract: We will use theories of quivers and Hilbert schemes to explain Mckay correspondences which relates Kleinian singularities and Mckay diagrams of finite subgroups in SU(2). The minimal resolution of singularities will be given by certain moduli space of representations of quivers, which will be identified to G-Hilbert schemes of A^2.

 

 

For more information click :

https://www.staff.science.uu.nl/~looij101/graduate-seminar-ubiquity