| |
|
Description: |
The group of holomorphic diffeomorphisms, Aut(M), of a compact complex manifold M is a Lie group of finite dimension. To provide bounds for the dimension of these groups is a classical problem in complex analysis. It is well known that the dimension of Aut(M) cannot be bounded in terms of the dimension of M solely. However several important problems arise once specific constraints are imposed on the manifold M. For example, the case of homogeneous manifolds has been intensively studied in connection with which is sometimes called Remmert conjecture. Another interesting situation corresponds to the case of algebraic manifolds whose Picard group is Z (the Hwang-Mok problem). There is an evident relation between bounds for the order of the zeros of holomorphic vector fields on M and bounds for the dimension of Aut(M). In this sense, results on singularities of holomorphic vector fields (particularly on specific questions concerning the extent to which a singularity of a vector field can be degenerate) have implications to problem mentioned above. We will discuss some concepts and recent results in this direction.
|
|
Date: |
|
| Start Time: |
15:40 |
|
Speaker: |
Helena Reis (CMUP, Univ. Porto)
|
|
Institution: |
CMUP
|
|
Place: |
Room 2.5
|
|
Organization: |
UC|UP Joint PhD Program in Mathematics
|
|
See more:
|
<Main>
<UC|UP MATH PhD Program>
|
|
