Peter Gothen's Annual Report 2013

Peter Gothen's Annual Report 2013

Year: 

2013

Brief description of the research activities: 

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

Projects description: 

- Principal Investigator in the project Topological Invariants via Differential Geometry (PTDC/MAT/
098770/2008; 22/03/2010–21/09/2013). Project funded by the Portuguese Science Foundation (FCT) total approved funding: 100.000€
over three and a half years (2010–2013); number of researchers: 9.

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 Algebraic Geometry in Portugal (PTDC/MAT/099275/2008; 25/01/2010-24/01/2013). Project co-ordinated by Prof. Margarida Mendes Lopes (Instituto Superior Técnico, Lisbon) and funded by the Portuguese Science Foundation (FCT).

- 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€.

Preprints: 

Articles in international peer reviewed journals : 

Papers accepted for publication in peer reviewed journals: 

Peter Gothen

Communications in international conferences : 

Authors: 

Peter Gothen

Title: 

Higgs bundles and SO∗

Name of the event: 

Workshop on Moduli Spaces and Mathematical Physics

Start and end date: 

Monday, 28 January, 2013 to Saturday, 2 February, 2013

Location / City: 

Guanajuato

Country: 

Mexico

Authors: 

Peter Gothen

Title: 

Morse theory on the moduli of Higgs bundles

Name of the event: 

Nigel Hitchin LAB Retreat: Topology of moduli spaces of representations

Start and end date: 

Monday, 11 March, 2013 to Friday, 15 March, 2013

Location / City: 

Miraflores de la Sierra

Country: 

Spain

Talks / Seminars / Courses : 

Title:
Representations of fundamental groups of surfaces: algebra, geometry and algebraic geometry
Name of the event:
22/05/2013
Speakers
Peter Gothen
Country:
Portugal
Location / City:
Vila Real
Title:
Character varieties for real Lie groups and Higgs bundles
Name of the event:
25/11/2013
Speakers
Peter Gothen
Country:
Switzerland
Location / City:
Lausanne

Organization of scientific meetings: 

Role: 

Organizer

Name of the event: 

IST Courses on Algebraic Geometry

start and end date: 

June 25, 2013 to June 28, 2013

Country: 

Portugal

Location / City: 

Porto

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, 2014, SFRH/BD/51174/2010
Thomas Baier, 2014, SFRH/BPD/81696/2011

Work visits: 

- 29/01/2013-07/02/2013: CIMAT, Guanajuato, Mexico (http://www.cimat.mx). Visiting Prof. Letícia Brambila-Paz.
- 24/06/2013-26/06/2013: Ecole Polytechnique Fédérale de Lausanne. Visiting Prof. Tamás Hausel
- 03/12/2013-04/12/2013: Universitat de Barcelona. Visiting Prof. Ignasi Mundet i Riera.

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