2025 CMS Winter Meeting
Toronto, Dec 5 - 8, 2025
Recent Developments in Complex Analysis and Geometry
Org: Alexander Brudnyi (University of Calgary), Rasul Shafikov (Western University) and Mahishanka Withanachchi (University of Calgary)
Org: Alexander Brudnyi (University of Calgary), Rasul Shafikov (Western University) and Mahishanka Withanachchi (University of Calgary)
- HARSHITH ALAGANDALA, UWO
- ROBERTO ALBESIANO, Waterloo
- TATYANA BARRON, UWO
- ILIA BINDER, Toronto
- BLAKE BOUDREAUX, Arkansas
- ISABELLE CALENDAR, Université Gustave Eiffel
- DEBRAJ CHAKRABARTI, Central Michigan
- DAN COMAN, Syracuse
- JESSE HULSE, Manitoba
- LUKA MERNIK, Florida Polytechnic University
- PIERRE-OLIVIER, UQTR
- ANDY RAICH, University of Arkansas
Tower multitype and compactness of the dbar-Neumann operator in complex manifolds [PDF]
- ROBERTO ALBESIANO, Waterloo
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In this talk, I will discuss a new approach to establishing compactness of the $\bar\partial$-Neumann operator on $(p,q)$-forms on not necessarily pseudoconvex domains in complex manifolds. I will introduce a construction called the tower multitype and use it to build a stratification of the boundary. The stratification implies Property $(P_q)$ which in turn implies compactness of the $\bar\partial$-Neumann operator. I will also provide examples.
The result is joint work with Professor Dmitri Zaitsev of Trinity College Dublin.
- DROR VAROLIN, Stony Brook
- LIS VIVAS, Ohio State
- YUNUS ZEYTUNCU, Michigan
- LIS VIVAS, Ohio State