ANGELO VULPIANI, Università di Roma La Sapienza
FRONT PROPAGATION IN LAMINAR AND TURBULENT FLOWS
Monday, March 29 2010, at 17:00
Dipartimento di Matematica, Politecnico di Milano, Sala Consiglio VII piano | |
|
|
| |
P.M.H. WILSON, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge
METRIC PROPERTIES OF CALABI-YAU MANIFOLDS
Monday, March 29 2010, at 15:00
Dipartimento di Matematica, Università di Milano |
|
|
Abstract
|
 |
 |
This talk aims to introduce some general ideas relating properties from algebraic
geometry to concepts from metric geometry, in particular that of Gromov-Hausdorff limits
of metric spaces.
Let $X$ be a Calabi-Yau manifold of dimension $n$, that is a complex projective manifold
which admits a nowhere vanishing holomorphic $n$-form, and no holomorphic $i$-forms for
$0 < i < n$. By a famous theorem of Yau, for each K"ahler class in the real second cohomology,
there exists a unique Ricci
at K"ahler metric on X with K"ahler form in the given
class, the Calabi Yau metric; hence there is a well-defined metric space structure on $X$.
A natural question then arises: if we degenerate either the complex or Kähler structures
on X in the sense of algebraic geometry, obtaining a singular projective variety, what
can be said about the metric limits (in the sense of Gromov-Hausdorff) of the corresponding Ricci
at K"ahler manifolds? We will suggest some answers to this question and explain
their relevance for the geometry of Calabi-Yau manifolds.
|
|
|
| |
DIETMAR HOEMBERG, Weierstrass Institute for Applied Analysis and Stochastics
THE MATHEMATICS OF DISTORTION
Monday, March 01 2010, at 17:00
Dipartimento di Matematica, Università di Milano, Via Saldini, Sala di Rappresentanza | |
|
|
| |
ALBERTO BRESSAN, Pennsylvania State University
NON-COOPERATIVE DIFFERENTIAL GAMES
Thursday, February 25 2010, at 11:30
Dipartimento di Matematica, Politecnico di Milano, Sala Consiglio VII piano | |
|
|
| |
TIM STEGER, Università di Sassari
50 FAKE PLANES
Monday, February 15 2010, at 15:00
Aula seminari 3014, Dipartimento di Matematica, Università di Milano Bicocca | |
|
|
| |
Renzo Ricca, Università di Milano-Bicocca
On Gauss' linking number and the energy spectrum of magnetic knots
Wednesday, December 16 2009, at 17:00
Dipartimento di Matematica, Università di Milano, Via Saldini | |
|
|
| |
|
|
|
|
