Peter Gothen's Annual Report 2014

Peter Gothen's Annual Report 2014

Year: 

2014

Brief description of the research activities: 

Study of geometric and topological properties of moduli spaces of Higgs bundles.

External projects: 

- Member of the Steering Committee of the European Research Council research network ITGP – Interactions of Low-Dimensional Topology and Geometry with Mathematical Physics. http://www.itgp.net

- Member of the Scientific Committee of the European research group Vector Bundles on Algebraic Curves (VBAC).

- Member of the project Portuguese Algebraic Geometry Community (PTDC/MAT-GEO/0675/2012; 26/07/2013-25/07/2015). Project coordinated by Prof. Margarida Mendes Lopes (Instituto Superior Técnico, Lisbon) and funded by the Portuguese Science Foundation (FCT); total funding: 83.000€.

Proceedings classified as book chapters (peer reviewed): 

Papers accepted for publication in peer reviewed journals: 

S. B. Bradlow, O. García-Prada, P. B. Gothen, Higgs bundles for the non-compact dual of the special orthogonal group, Geometriae Dedicata, 10.1007/s10711-014-0026-8

Communications in international conferences : 

Authors: 

Peter Gothen

Title: 

Higgs bundles for the non-compact dual of the special orthogonal group

Name of the event: 

Joint miniworkshop on Moduli Spaces ICMAT-UCM

Start and end date: 

Tuesday, 10 June, 2014 to Wednesday, 11 June, 2014

Location / City: 

Madrid

Country: 

Spain

Authors: 

Peter Gothen

Title: 

Higgs bundles for the non-compact dual of the special orthogonal group

Name of the event: 

Workshop in the Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles Programme

Start and end date: 

Monday, 21 July, 2014 to Friday, 25 July, 2014

Country: 

Singapore

Authors: 

Peter Gothen

Title: 

Representations of surface groups: algebra, geometry and algebraic geometry

Name of the event: 

5th Iberian Mathematical Meeting, Geometry and Topology session

Start and end date: 

Friday, 3 October, 2014 to Sunday, 5 October, 2014

Location / City: 

Aveiro

Country: 

Portugal

Talks / Seminars / Courses : 

Seminars given (at CMUP): 

Student Mentoring: 

Hitchin pairs for the indefinite unitary group, 2015, SFRH/BD/51166/2010
Artur de Araújo, Character varieties for surface group representations and compactification of moduli of Higgs bundles, 2016, SFRH/BD/89423/2012
Homotopy groups of moduli of Higgs bundles, 2015, SFRH/BD/51174/2010
2014, 2014, SFRH/BPD/81696/2011

Outreach activities: 

2 Talks on Projective Geometry for Secondary School Students - Círculo de Matemática (http://web.fc.up.pt/circulodematematica/cm/). Escola Secundária Aurélia de Sousa, Porto, October 22 and November 12, 2014.

Work visits: 

- 09/05/2014-13/06/2014: ICMAT, Madrid, Spain. Visiting Prof. Oscar García-Prada.

- 16/07/2014-25/07/2014: Institute for Mathematical Sciences, National University of Singapore - The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles Programme.

- 01/12/2014-03/12/2014: ICMAT, Madrid, Spain. Visiting Prof. Oscar García-Prada.