Jean-Morlet Chair 2021 - Conference: Faces of Singularity Theory / Chaire Jean-Morlet 2021 - Conférence : Visages de la théorie des singularités

Collection Jean-Morlet Chair 2021 - Conference: Faces of Singularity Theory / Chaire Jean-Morlet 2021 - Conférence : Visages de la théorie des singularités

Organizer(s) Fernandez de Bobadilla, Javier ; Pichon, Anne ; Mann, Etienne

Date(s) 22/11/2021 - 26/11/2021

linked URL https://www.chairejeanmorlet.com/2571.html

00:00:00 / 00:00:00

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Splice type surface singularities and their local tropicalizations

By Maria Angelica Cueto

Splice type surface singularities were introduced by Neumann and Wahl as a generalization of the class of Pham-Brieskorn-Hamm complete intersections of dimension two. Their construction depends on a weighted graph with no loopscalled a splice diagram. In this talk, I will report on joint work with Patrick Popescu-Pampu and Dmitry Stepanov (arXiv: 2108.05912) that sheds new light on these singularities via tropical methods, reproving some of Neumann and Wahl'searlier results on these singularities, and showings that splice type surface singularities are Newton non-degenerate in the sense of Khovanskii.

Information about the video

Date of recording 25/11/2021
Date of publication 10/12/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19846703
Cite this video Cueto, Maria Angelica (25/11/2021). Splice type surface singularities and their local tropicalizations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19846703
URL https://dx.doi.org/10.24350/CIRM.V.19846703

Domain(s)

Bibliography

CUETO, Maria Angelica, POPESCU-PAMPU, Patrick, et STEPANOV, Dmitry. Local tropicalizations of splice type surface singularities. arXiv preprint arXiv:2108.05912, 2021. - https://arxiv.org/abs/2108.05912
NEUMANN, Walter D. et WAHL, Jonathan. Complete intersection singularities of splice type as universal abelian covers. Geometry & Topology, 2005, vol. 9, no 2, p. 699-755. - http://dx.doi.org/10.2140/gt.2005.9.699
NEUMANN, Walter D. et WAHL, Jonathan. Complex surface singularities with integral homology sphere links. Geometry & Topology, 2005, vol. 9, no 2, p. 757-811. - http://dx.doi.org/10.2140/gt.2005.9.757
POPESCU-PAMPU, Patrick et STEPANOV, Dmitry. Local tropicalization. in Algebraic and combinatorial aspects of Tropical Geometry, Contemp. Math, 2013, vol. 589, p 253-316. -

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