# Difference between revisions of "PDE Geometric Analysis seminar"

Line 27: | Line 27: | ||

= Abstracts = | = Abstracts = | ||

===Bing Wang (UW Madison)=== | ===Bing Wang (UW Madison)=== | ||

− | '' | + | ''On the regularity of limit space'' |

+ | |||

+ | This is a joint work with Gang Tian. | ||

+ | In this talk, we will discuss how to improve regularity of the limit space by Ricci flow. | ||

+ | We study the structure of the limit space of a sequence of almost Einstein | ||

+ | manifolds, which are generalizations of Einstein manifolds. Roughly speaking, such | ||

+ | manifolds are the initial manifolds of some normalized Ricci flows whose scalar | ||

+ | curvatures are almost constants over space-time in the L1-sense, Ricci curvatures | ||

+ | are bounded from below at the initial time. Under the non-collapsed condition, | ||

+ | we show that the limit space of a sequence of almost Einstein manifolds has most | ||

+ | properties which is known for the limit space of Einstein manifolds. As applications, | ||

+ | we can apply our structure results to study the properties of K¨ahler manifolds. | ||

+ | |||

+ | |||

===Peter Polacik (U of M)=== | ===Peter Polacik (U of M)=== | ||

''To Be Announced'' | ''To Be Announced'' | ||

<Abstract here> | <Abstract here> |

## Revision as of 09:34, 10 September 2012

The seminar will be held in room B115 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.

### Previous PDE/GA seminars

# Seminar Schedule Fall 2012

date | speaker | title | host(s) |
---|---|---|---|

September 17 | Bing Wang (UW Madison) |
On the regularity of limit space |
local |

October 15 | Peter Polacik (U of M) |
To Be Announced |
Zlatos |

# Abstracts

### Bing Wang (UW Madison)

*On the regularity of limit space*

This is a joint work with Gang Tian. In this talk, we will discuss how to improve regularity of the limit space by Ricci flow. We study the structure of the limit space of a sequence of almost Einstein manifolds, which are generalizations of Einstein manifolds. Roughly speaking, such manifolds are the initial manifolds of some normalized Ricci flows whose scalar curvatures are almost constants over space-time in the L1-sense, Ricci curvatures are bounded from below at the initial time. Under the non-collapsed condition, we show that the limit space of a sequence of almost Einstein manifolds has most properties which is known for the limit space of Einstein manifolds. As applications, we can apply our structure results to study the properties of K¨ahler manifolds.

### Peter Polacik (U of M)

*To Be Announced*

<Abstract here>