Seminar: Geometric Invariant Theory - Summer 2012
We are holding a reading seminar on Geometric Invariant Theory (GIT) which should be accessible to those with a basic knowledge of algebraic geometry. In addition we aim to have weekly problems sessions where we can informally discuss what we have learnt/haven't learnt and do some simple problems and maybe even some not so simple ones too.
We aim to roughtly follow Peter Newstead's TATA Lecture Notes "Introduction to Moduli Problems and Orbit Spaces" and Shigeru Mukai's "An Introduction to Invariants and Moduli.
We also aim to hold a follow-up to the 'Postgraduate Students' Birational Geometry Learning Seminar' at the end of the term where we will explore more advanced topics and applications of GIT.
You will eventually be able to find the lecture notes (for those people who wanted to come to the seminar but couldn't make it) and exercise sheets on this page. That is if people make exercise sheets.
All talks will be in B3.01 on Tuesdays and Wednesday at 4. The schedule for the seminar:
|22nd-23rd May 2012||Quotient Constructions of Toric Varieties
(Sections 5.0,5.1 of Cox, Little and Schenck's "Toric Varieties")
|29th-30th May 2012||The concept of Moduli and Endomorphisms of Vector Spaces
(Newstead Chapter 1 and 2)
|5th-6th June 2012||Affine Quotients
(Newstead Sections 3.1, 3.3; Mukai Chapter 5)
|12th-13th June 2012||Projective Quotients and Linearisation
(Newstead Sections 3.4, 3.5; Mukai Chapter 6)
|19th-20th June 2012
On Tuesday we are in A1.01
|A Numerical Criterion and some Examples
(Newstead Chapter 4; Mukai Chapter 7)
|26th-27th June 2012||Mori Theory and GIT||Tom Ducat|
Jointly organised by Jo Jung and Tom Ducat.
E-mail address: a dot j dot chan at warwick dot ac dot uk