Manchester Geometry Seminar Special Session - Anisa Chorwadwala
| Dates: | 24 April 2026 |
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| Times: | 05:00 - 06:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Anisa Chorwadwala (Indian Institute of Science Education and Research Pune)
Title: Optimisation of a mixed Steklov Dirichlet Eigenvalue
Abstract: In this talk, I am going to talk about an eigenvalue optimisation problem over a family of doubly connected domains U:=D?? in R^2 where ?D, one boundary component, is a circle while the other component, ??, enjoys a dihedral symmetry. The Boundary Value Problem under consideration is ?u=0 on D??, u=0 on ?D and ?u/?n=?u on ??. We study the behaviour of the first nonzero eigenvalue of this problem as the domain ? rotates about its own center by an angle ? in the anticlockwise direction. We also investigate if there is any symmetry, monotonicity in the behaviour of the eigenvalue as a function of ?, and try to find global maximisers and global minimisers of the eigenvalue with respect to ?. This is based on a joint work with Sagar Basak, Ravi Prakash and Sheela Verma.
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Frank Adams 2
Alan Turing Building
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