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Grad Student Seminar - Luka Mernik

Luka Mernik
October 30, 2018
5:15PM - 6:30PM
Cockins Hall 240

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Add to Calendar 2018-10-30 17:15:00 2018-10-30 18:30:00 Grad Student Seminar - Luka Mernik Title: Finite Type Speaker: Luka Mernik (Ohio State University) Abstract: D'Angelo type $\Delta_1(p)$ was introduced to measure holomorphic flatness (complex analog of geometric flatness) of a smooth real hypersurface $\mathscr{H}$ at a point $p\in \mathscr{H}$. The type controls quantitative behavior of holomorphic functions on a domain $\Omega$ bounded by $b\Omega=\mathscr{H}$ near $p$. I will discuss some basic properties of finite type and some results. I will also briefly discuss regular vs singular type and mention a new result about when the two notions coincide. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Finite Type

SpeakerLuka Mernik (Ohio State University)

Abstract: D'Angelo type $\Delta_1(p)$ was introduced to measure holomorphic flatness (complex analog of geometric flatness) of a smooth real hypersurface $\mathscr{H}$ at a point $p\in \mathscr{H}$. The type controls quantitative behavior of holomorphic functions on a domain $\Omega$ bounded by $b\Omega=\mathscr{H}$ near $p$. I will discuss some basic properties of finite type and some results. I will also briefly discuss regular vs singular type and mention a new result about when the two notions coincide.

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