Day-long geometry seminars with three talks on a common theme
Université Libre de Bruxelles, 27th June 2018
Registration is free, but necessary so that we know how many people to expect. To register please send an email to Edwine Lukamba. Lunch will be provided for all registered attendees.
12:15 John Lott
14:30 Ben Sharp
16:00 Jian Song
John Lott. Almost Ricci-flat 4-manifolds.
A manifold is almost Ricci-flat if it admits a sequence of Riemannian metrics with diameter one, for which the Ricci curvature goes to zero uniformly. I will describe results about the topology and geometry of almost Ricci-flat 4-manifolds in the noncollapsed case (joint work with Vitali Kapovitch) and in the collapsed case.
Ben Sharp. Bubbling analysis and index estimates for free-boundary minimal hypersurfaces.
We will discuss some recent results in the analysis of degenerating sequences of free-boundary minimal hypersurfaces (FBMH), with a view to gaining qualitative (and quantitative) relationships between their Morse indices, geometry and topology. A FBMH is a manifold with boundary which is a critical point of the area functional under the sole constraint that its boundary must lie along the boundary of the ambient space. Thus the mean curvature vanishes on the interior and they meet the boundary orthogonally. The Morse index is (roughly speaking) the number of local directions one can push the hypersurface to decrease area. I will present joint works with L. Ambrozio, A. Carlotto and R. Buzano.
Jian Song. Compactness for Kähler-Einstein manifolds of negative scalar curvature.
We will discuss compactness for Kahler-Einstein manifolds of negative scalar curvature and geometric Kähler-Einstein metrics on smoothable semi-log canonical models.
Getting to the ULB
The entire event will take place in the mathematics department of the Université libre de Bruxelles. The department is in building NO, marked on this map which also shows the public transport which serves the campus: metro station "Delta" (line 5) and buses 71, 72 and 95. Note only roads, and not footpaths are shown on this map, the footpaths appear on this alternative plan of the campus. The talks will take place in the Salle de Profs on the 9th floor of NO.
Most international visitors will arrive at Gare du Midi (where the Eurostar and Thalys terminals are). From here the easiest route to the ULB is by metro. Take line 2 or 6 in the direction "Elisabeth", and change at "Arts-Loi" for line 5, direction "Hermann Debroux", which will stop at "Delta". The journey should take approximately 30 minutes.
Click on the seminar names to see the speakers, titles and abstracts.
- Mélanie Bertelson (Université libre de Bruxelles)
- Simone Gutt (Université libre de Bruxelles)
- Reto Müller (Queen Mary's College, London)
- Dmitri Panov (King's College, London)
- Felix Schulze (University College, London)
- Michael Singer (University College, London)
- Guiseppe Tinaglia (King's College, London)