Geometric Structures seminar - Joe Hoisington - Tuesday May 7th, 2024 , 14:00 (Rome time) - room 133 at SISSA

[Samuel Borza]

Dear All,

This is to announce the next seminar from the series "Geometric Structures".

Speaker: Joe Hoisington (Max Planck Institute for Mathematics)

Title: Energy-minimizing mappings of real and complex projective spaces
Time: Tuesday May 7th, 2024 , 14:00 (Rome time)
Venue: room 133 - SISSA main building

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Abstract:
We will show that, in any homotopy class of mappings from complex projective space to a Riemannian manifold, the infimum of the energy is proportional to the infimal area in the class of mappings of the 2-sphere representing the induced homomorphism on the second homotopy group. We will also give a related estimate for the infimum of the energy in a homotopy class of mappings of real projective space, and we will discuss several results and questions about energy-minimizing maps and their metric properties.
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More information can be found here: https://sites.google.com/view/geometric-structures/

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Samuël Borza