UCL Junior Geometry Seminar
Seminar archive
2012-2013:
Speaker: Jamil Nadim,
Time: 5pm, Tuesday 23/Apr/2013,
Venue: Room 500, Department of Mathematics, 25 Gordon Street,
Title: K-theory continued.
Speaker: Jamil Nadim,
Time: 5pm, Tuesday 9/Apr/2013,
Venue: Room 500, Department of Mathematics, 25 Gordon Street,
Title: Algebraic K-theory.
Speaker: Yoshi Hashimoto,
Time: 5pm, Tuesday 19/Mar/2013,
Venue: Room 500, Department of Mathematics, 25 Gordon Street,
Title: Basic Algebraic Geometry and Geometric Invariant Theory.
Abstract: Geometric Invariant Theory is, roughly speaking, a technique of taking quotients in Algebraic Geometry to construct a space of orbits of group action. This talk aims to be an accessible introduction to this subject. I will start from the very basics of complex algebraic geometry, so no prior knowledge on algebraic geometry will be assumed - even the complex projective space will be defined.
This talk will probably be followed by another talk by myself, in which a similar problem will be discussed in differential geometric language, and will lead to the theorem of Kempf and Ness which beautifully connects Differential Geometry and Algebraic Geometry. Each of these talks should be mostly self-contained and will not rely significantly on each other.
References: Hartshorne's book, Richard Thomas' notes.
Speaker: Bjorn Berntson,
Time: 5pm, Tuesday 12/Mar/2013,
Venue: Room 500, Department of Mathematics, 25 Gordon Street,
Title: Gauge Theory.
References: Goeckeler-Schuecker, Nakahara, Baes-Muniain.
Speaker: Alex Cioba,
Time: 5pm, Tuesday 26/Feb/2013,
Venue: Room 500, Department of Mathematics, 25 Gordon Street,
Title: Morse-Floer homology.
References: Ritter's notes.
Spearker: Alex Cioba,
Time: 5pm, Tuesday 19/Feb/2013,
Venue: Room 706, Department of Mathematics, 25 Gordon Street,
Title: Morse theory.
Abstract: A construct that intrinsically lies at the heart of differential topology, and provides a toy model for a theory of widespread interest nowadays - Floer homology.
References: Milnor's book, Ritter's notes, Hutchings' notes, Bott's paper.