Mathematical Sciences Research Institute

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Summer Graduate School

The ∂-Problem in the Twenty-First Century June 11, 2018 - June 22, 2018
Parent Program: --
Location: MSRI: Simons Auditorium, Atrium
Organizers Debraj Chakrabarti (Central Michigan University), Jeffery McNeal (Ohio State University)

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This Summer Graduate School will introduce students to the modern theory of the  inhomogeneous Cauchy-Riemann equation, the fundamental partial differential equation of Complex Analysis. This theory uses powerful tools of partial differential equations, differential geometry and functional analysis to obtain a refined understanding of holomorphic functions on complex manifolds. Besides students planning to work in complex analysis, this course will be valuable to those planning to study partial differential equations, complex differential and algebraic geometry, and operator theory. The exposition will be self-contained and the prerequisites will be kept at a minimum Suggested prerequisites: Students will be expected to have had graduate-level courses in complex and real analysis. A typical first or second year graduate course at the level of Rudin’s Real and Complex Analysis, for example, would be sufficient. Exposure to some basic functional analysis or PDE would be desirable, but not assumed. The basic results from those areas needed to understand subsequent material in the summer school will be developed in the course For eligibility and how to apply, see the Summer Graduate Schools homepage
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  • Several Complex Variables

  • Cauchy-Riemann Equations

  • Holomorphic functions

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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