2019/2020

2020 March 3rd

Wlodzimierz Jelonek

Title: Generalized Calabi type Kahler surfaces

Abstract: In the talk we give the classification of generalized Calabi type Kähler surfaces, the class of QCH Kähler surfaces whose opposite almost Hermitian structure is Hermitian and is determined by complex foliation by curves.

2020 January 28th

Stanislaw Janeczko

Title: Singularities of Lagrangian projections - symmetric caustics II

2020 January 21th

Stanislaw Janeczko

Title: Singularities of Lagrangian projections - symmetric caustics

2020 January 14th

Stanislaw Janeczko

Title: Singularities of Lagrangian projections - caustics

2020 January 7th

Yingying Zhang (Tsinghua University, Beijing)

Title: Obstructions to the existence of coupled Kähler-Einstein metrics

Abstract: Coupled Kähler-Einstein metric was introduced by Hultgren and Witt-Nystrom. It is a new type canonical metric generalizing Kähler-Einstein metrics or Kähler Ricci solitons on compact Kahler manifolds. In this talk, we will discuss two obstructions to the existence of the coupled Kähler-Einstein metrics. One is the Matsushima type obstruction, which is about the reductivity of the Lie algebra of automorphism. Another is an extension of original Futaki invariant. We will also discuss the localization formula of this generalized Futaki invariant and use it to verify the existence of coupled Kähler-Einstein metric on an example. (This is the joint work with Professor Akito Futaki.)

2019 November 26th

Shyuichi Izumiya

Title: Pedals, primitives and inversions of plane curves

2019 November 19th

Stanisław Janeczko

Title: Singularities of Lagrangian projections - applications

2019 November 12th

Stanisław Janeczko

Title: Singularities of Lagrangian projections - continuation

2019 November 5th

Stanisław Janeczko

Title: Singularities of Lagrangian projections - introduction