UCSD Differential Geometry Seminar
UCSD Differential Geometry Seminar |
|
Tuesday October 13, 2009. JOINT UCI-UCSD DIFFERENTIAL GEOMETRY SEMINAR AT UC IRVINE.
Room and Time: RH306 at UC Irvine, 3-4pm. Speaker: Yanir Rubinstein (Stanford)
Room and Time: RH306 at UC Irvine, 4-5pm. Speaker: Weiyong He (University of Oregon)
For more details see the UCI Differential Geometry seminar.
Wednesday October 28, 2009.
Room and Time: Room AP&M 6402, 4-5pm.
Speaker: Qingtao Chen, University of Southern California.
Title: Quantum invariants of links
Wednesday November 4, 2009.
Room and Time: Room AP&M 6402, 4-5pm.
Speaker: Andrea Young, University of Arizona.
Title: Ricci Yang-Mills solitons on nilpotent Lie groups
Abstract: There has been much recent progress in the study of Ricci solitons on nilpotent and solvable Lie groups. In this talk, I will define the Ricci Yang-Mills flow which is related to the Ricci flow. I will also define Ricci Yang-Mills solitons, which are generalized fixed points of the Ricci Yang-Mills flow. These metrics are related to Ricci solitons; however, they are defined on principal G-bundles and are designed to detect more of the bundle structure. On nilpotent Lie groups, one can say precisely in what sense Ricci Yang-Mills solitons are related to Ricci solitons. I will provide examples of 2-step nilpotent Lie groups that admit Ricci Yang-Mills solitons but that do not admit Ricci solitons. This is joint work with Mike Jablonski.
Monday November 9, 2009. ** Note unusual day **
Room and Time: Room 6402, 4-5pm.
Speaker: Valentino Tosatti, Columbia University.
Title: Collapsing of Ricci-flat metrics
Abstract: We are interested in the behaviour of Ricci-flat Kahler metrics on a compact Calabi-Yau manifold, with Kahler classes approaching the boundary of the Kahler cone. The case when the volume approaches zero is especially interesting since the corresponding complex Monge-Ampere equation degenerates in the limit. If the Calabi-Yau manifold is the total space of a holomorphic fibration, the Ricci-flat metrics collapse to a metric the base, which ``remembers'' the fibration structure.
Wednesday November 18, 2009.
Room and Time: Room AP&M 6402, 4-5pm.
Speaker: Jie Qing, UC Santa Cruz.
Title: Scattering on conformally compact Einstein manifolds
Abstract: I will talk about the scattering operators on conformally compact Einstein manifolds based on the work of Graham and Zworski. A conformally compact Einstein manifold comes with a conformal manifold as its conformal infinity. I will show scattering operators, as spectral property of the bulk space, in many ways are related to global conformal property of the infinity. I will in particular talk about a recent joint work with Colin Guillarmou on the relation of the location of real scattering poles and the Yamabe constant of the conformal infinity.
Wednesday January 6, 2009.
Room and Time: Room TBA, 4-5pm.
Speaker: Chikako Mese, Johns Hopkins University.
Title: Geometric superrigidity and harmonic maps
Wednesday January 20, 2009.
Room and Time: Room TBA, 4-5pm.
Speaker: Murugiah Muraleetharan, UC Riverside.
Title: TBA
Questions: Contact Ben Weinkove (weinkove@math) or Lei Ni (lni@math).
Email addresses end in ucsd.edu
See the 2008-2009 Differential Geometry Seminar schedule.
Return to UCSD Mathematics homepage.