Speaker: Enrico Valdinoci, The University of Western Australia, Perth, Australia

Time : 11:00 - 12:00 CEST (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

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Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords: fractional Laplacian, rigidity results

Abstract: We explore a surprising and beautiful property that exists only in the nonlocal world, and discuss its interesting consequences.

Biography: Enrico Valdinoci is a Professor of Mathematics, Fellow of the Australian Academy of Science, and Australian Laureate Fellow. He carried out his academic career in Pisa, Rome, Milan, Berlin, Melbourne, and Perth. He is a highly cited researcher and Ladyzhenskaya Lecturer, and has been awarded the James S. W. Wong Prize, the Mahony-Neumann-Room Prize, the Orazio Arena Prize, the Book Prize of the Unione Matematica Italiana, the Prize of the Bulletin of the Brazilian Mathematical Society, the Amerio Gold Medal Prize, and the George Szekeres Medal.

Among key contributions, he proved that "all functions are locally s-harmonic up to a small error" and discovered the stickiness phenomenon for nonlocal minimal surfaces.

He demonstrated an exceptional commitment to advancing equitable access to knowledge and has played a key role in founding, leading, and promoting diamond open access journals, to ensure that research remain freely available to both authors and readers, without financial barriers of any kind.

Bibliography

[1] Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico. All functions are locally s-harmonic up to a small error. J. Eur. Math. Soc. (JEMS) 19 (2017), no. 4, 957–966.
[2] Carbotti, Alessandro; Dipierro, Serena; Valdinoci, Enrico. Local density of solutionsto fractional equations. De Gruyter Studies in Mathematics, 74. De Gruyter, Berlin, 2019. ix+129 pp.
[3] Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico. On divergent fractional Laplace equations. Ann. Fac. Sci. Toulouse Math. (6) 30 (2021), no. 2, 255–265.