Workshop on:

Pluriharmonic maps, meromorphic connections and quantum cohomology

Organised by SFB/TR 12 "Symmetry and Universality in Mesoskopic Systems" of the Ruhr University Bochum, with partial support from the Technical University of Munich and Tokyo Metropolitan University

Place Dates Topics Format

Ruhr-Universitaet Bochum

RUB Faculty of Mathematics

(building NA on the map; U-bahn station is just beyond top of map)

travel

HOTEL

Monday 23 June

(afternoon)

-

Thursday 26 June

(morning)

2008

 

Frobenius manifolds,quantum cohomology,variations of Hodge structure, TERP and tt* structures, pluriharmonic maps, DPW theory, etc

Expository lectures on pluriharmonic maps, meromorphic connections, and quantum cohomology, followed by workshop lectures

Despite their very different origins, the theories of (1) Gauss maps of CMC immersions (more generally, harmonic or pluriharmonic maps into symmetric spaces) (2) quantum cohomology (more generally, Frobenius manifolds) are very closely linked by means of certain families of flat connections. These "integrable systems" provide links between several important fields: differential geometry, singularity theory, variations of Hodge structures, Gromov-Witten invariants, and so on. The aim of this workshop is to exchange ideas and techniques from these fields, focusing on the meromorphic connections which arise from harmonic maps and quantum cohomology. With this in mind, three series of expository lectures are planned at the beginning of the workshop.


FOR FURTHER INFORMATION PLEASE CONTACT ANY OF THE ORGANISERS:

Josef Dorfmeister dorfm.ma.tum.de (change first dot to at)

Martin Guest martin.comp.metro-u.ac.jp

Claus Hertling hertling.math.uni-mannheim.de

Alan Huckleberry ahuck.cplx.ruhr-uni-bochum.de


PROVISIONAL PROGRAM

Monday June 23:


1400-1500 Josef Dorfmeister (TU Munich) Lecture1
1515-1615 Martin Guest (Tokyo Metropolitan University) Lecture 1
1645-1745 Claus Hertling (Mannheim) Lecture 1


Tuesday June 24


1000-1100 Vicente Cortes (Hamburg) "tt*-equations and pluriharmonic maps"
1130-1230 Uwe Abresch (RUB) "CMC surfaces, spinors, and integrable systems"
1400-1500 Josef Dorfmeister (TU Munich) Lecture 2
1515-1615 Martin Guest (Tokyo Metropolitan University) Lecture 2
1645-1745 Claus Hertling (Mannheim) Lecture 2


Wednesday June 25


1000-1100 Christian Sevenheck (Mannheim)
1130-1230 Hiroshi Iritani (Kyushu University/Imperial College London) "An example of tt* geometry in quantum cohomology"
1400-1500 Ian Strachan (Glasgow) "Rational, Trigonometric and Elliptic structures and Frobenius manifolds"
1515-1615 Lars Schaefer (Hamburg)
1645-1745 TBA


Thursday June 26


1000-1100 TBA
1130-1230 TBA