2022 academic year

No. 6

Date: March 10 (Fri) 16:30 - 17:30

Place: B707, Fac. Sci., Hiroshima University

Speaker: Makoto Abe (Hiroshima University)

Title: On the intermediate pseudoconvexity of unramified Riemann domains over C^n

Abstract:

We discuss the characterization of intermediate pseudoconvexity of unramified Riemann domains over C^n using quadratic automorphisms.

No. 5

Date: March 3 (Fri) 16:30 - 17:30

Place: B707, Fac. Sci., Hiroshima University

Speaker: Shota Kikuchi (National Institute of Technology, Suzuka College)

Title: On pluricomplex Green functions and the Ohsawa--Takegoshi L2-extension theorem

Abstract:

Recently, there are some remarkable progress of topics related to the Ohsawa--Takegoshi L2-extension theorem. In this talk, in particular, we explain about the relation between pluricomplex Green functions and the Ohsawa--Takegoshi L2-extension theorem with results obtained by the speaker.

No. 4

Date: December 23 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Tatsuki Nishida (Hokkaido University)

Title: Hyperfunctions via Čech-Dolbeault cohomology and images of embedding of differentiable functions

No. 3

Date: November 25 (Fri) 16:30 - 17:30

Place: B707, Fac. Sci., Hiroshima University

Speaker: Shun Sugiyama (National Institute of Technology Kitakyushu College)

Title: Open sets satisfying an intermediate vanishing condition of cohomology groups

Abstract:

In this talk, we consider open sets satisfying an intermediate vanishing condition of cohomology groups. We show that the boundaries of those open sets satisfy an intermediate continuity principle and give a new proof of a result of Eastwood-Suria (1980). As an application, we obtain a theorem of Serre (1953) that a vanishing condition of the cohomology group with respect to the structure sheaf is equivalent to the Steinness in complex Euclidean space.

No. 2

Date: May 13 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Hiroshi Ogawara (Kumamoto University)

Title: Differential transcendence of q-special functions

No. 1

Date: April 22 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Shinji Sasaki (Shibaura Institute of Technology)

Title: An approach toward Borel summability of WKB solutions of higher order equations

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