
Geometry, Topology, and Physics Seminar, Fall 2016
Part of the NSF/UCSB ‘Research Training Group’ in Topology and Geometry
Organizers:
Dave Morrison and
Zhenghan Wang.
Meets 4:00  5:30 p.m. Fridays in South Hall 6635.
Other Quarters: [
Spring, 2017;
Wnter, 2017;
Fall, 2016;
Spring, 2016;
Winter, 2016;
Fall, 2015;
Spring, 2015;
Winter, 2014;
Fall, 2013;
Fall, 2012;
Fall, 2011;
Winter, 2011;
Spring, 2010;
Winter, 2010;
Fall, 2009;
Spring, 2009;
Winter, 2009;
Fall, 2008;
Spring, 2008;
Winter, 2008;
Fall, 2007;
Spring, 2007;
Winter, 2007;
Fall, 2006
]
September 30 
David R. Morrison (UCSB)
Abstract:
K3 surfaces have played an important role in algebrac geometry, complex analytic
geometry, and differential geometry for the past 60 years. They also have
important applications to physics. I will give a series
of lectures this fall on K3 surfaces, of which this is the first.
Audio [ mp3, m4a ]; Lecture notes.

October 7 
No meeting

October 14 
No meeting

October 21 
David R. Morrison (UCSB)
Abstract:
K3 surfaces have played an important role in algebrac geometry, complex analytic
geometry, and differential geometry for the past 60 years. They also have
important applications to physics. I will give a series
of lectures this fall on K3 surfaces, of which this is the second.
Audio [ mp3, m4a ]; Lecture notes..

October 28 
No meeting

November 4 
David R. Morrison (UCSB)
Abstract:
In this third and final introductory lecture about K3 surfaces, I will explain how
the global Torelli theorem allows one to translate many interesting problems
about K3 surfaces into problems about embeddings of lattices, and I will
illustrate this with geometric examples, such as the Kummer construction.
Audio [ mp3, m4a ]; Lecture notes.

November 11 
No meeting (Veterans Day)

November 18 
No meeting

November 25 
No meeting (Thanksgiving holiday)

December 2 
David R. Morrison (UCSB)
Abstract:
At present, there are only two known constructions for $G_2$ manifolds: desingularizations of toroidal orbifolds (constructed by Joyce), and the twisted connected sum construction (originally introduced by Kovalev, and extended by Corti, Haskins, Nordström and Pacini). The latter construction begins from algebraic geometry  a semiFano 3fold and a K3 surface on it  and also involves a nontrivial application of the "matching" of two nonisomorphic algebraic K3 surfaces whose underlying Ricciflat metrics are the same.
Although we will be applying results from the theory of K3 surfaces which were covered in earlier lectures this fall, this lecture is independent of the earlier ones.
Audio [ mp3, m4a ]; Lecture notes.


