ABSTRACT

We discuss what the correct notion of a "Higgs field" should be in the category of polarized varieties. This is done by studying a hyperkähler reduction that extends the classical picture of the scalar curvature as a moment map. We obtain an analogue of Hitchin's Higgs bundle equations, and we present some existence results for this system on complex surfaces.

BRIEF BIO

Dr.Carlo Scarpa is currently a postdoctoral researcher at Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste, Italy. Scarpa received his Ph.D from SISSA under the supervision of Professor Jacopo Stoppa. His research focuses on Kähler geometry, particularly on the existence of Kähler metrics with special curvature properties, such as (in increasing generality) Kähler-Einstein metrics, cscK metrics or extremal Kähler metrics. For more information about him, please visit his webpage https://people.sissa.it/~cscarpa/.

ZOOM INFO

ID: 625 4380 0769
Password: 157818

https://zoom.com.cn/j/62543800769?pwd=SUVKMmh2NE5uUG01b3VYMSszNlpiQT09

For more information about this seminar, please see below.

【Wednesday Online Seminar on Geometric Analysis】

This is the 21st talk of Wednesday Online Seminar on Geometric Analysis, which is an online seminar organized by Prof. Gang Tian, Prof. Jie Qing, Prof. Zhenlei Zhang, and Prof. Xiaohua Zhu.

Below is a list of invited speakers:

April 8, 2020                  Wenshuai Jiang (Zhejiang University)

April 15, 2020                Chi Li (Purdue University)

April 22, 2020                Lu Wang (Caltech)

April 29, 2020                Jianchun Chu (Northwestern University)

May 6, 2020                  Richard Bamler (UC Berkeley)

May 13, 2020                Xin Zhou (UC Santa Barbara)

May 20, 2020                Daniel Stern (University of Toronto)

May 27, 2020                Jeff Streets (UC Irvine)

June 3, 2020                 Chenyang Xu (MIT)

June 10, 2020               Yi Lai (UC Berkeley)

June 17, 2020               Ben Andrews (Australian National University)

June 24, 2020               Shiguang Ma (Nankai University) 

July 1, 2020                   Yuchen Liu (Yale University)

July 7, 2020                   Min-Chun Hong (The University of Queensland)

July 15, 2020                 Jian Song (Rutgers University)

September 8, 2020        Martin Kerin (NUI Galway)

September 23, 2020      Richard Bamler (UC Berkeley) 

October 14, 2020           Chao Li (Princeton University)

October 21, 2020           Yu Yuan (University of Washington)

October 28, 2020           Aaron Naber (Northwestern University)

November 4, 2020        Carlo Scarpa (SISSA)

November 11, 2020        Keaton Naff (Columbia University)

December 9, 2020          Hans-Joachim Hein (Fordham University)

December 16, 2020        Lei Ni (UC San Diego)