Vukasin Stojisavljevic (CRM/UdeM - CNRS/Sorbonne)
Title: Counting zeros coarsely vs classically
´¡²ú²õ³Ù°ù²¹³¦³Ù:ÌýL Classical Nevanlinna theory concerns counting zeros of a holomorphic map inside of a disc of increasing radius. A straightforward generalization of this idea to complex vector spaces of higher dimension fails, as shown by Cornalba and Shiffman in the 1970s. In a recent work, we showed that a certain higher-dimensional generalization is possible, if one counts zeros coarsely, i.e. by ignoring small oscillations. The same philosophy pertains to a number of other problems in analysis, such as counting zeros of harmonic maps. I will explain the general idea of coarse counting and demonstrate its utility with concrete examples. The talk is partially based on a joint work with L. Buhovsky, I. Polterovich, L. Polterovich and E. Shelukhin.
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Meeting ID: 895 2873 0384
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