Two lectures by Daniel Hernandez Ruipérez

[Ugo Bruzzo]

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SISSA GEOMETRY & MATH PHYS SEMINARS
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Daniel Hernández Ruipérez (Univ. of Salamanca, Spain) will deliver two lectures on

Algebraic Supergeometry and some applications

on:

Thursday June 27th at 11 am  (Room 135)
Friday June 28th at 11 am  (B. Dubrovin room 136)

both in SISSA’s Main Building.

Abstract: Supergeometry is the study of  “varieties’’ where bosonic and fermonic variables are on an equal footing. The basic objects of algebraic supergeometry are the superschemes. I shall review the basic notions of algebraic supergeometry and extend to the superworld some algebraic geometry constructions, such as supervector and superprojective bundles,  and super grassmannians among others. I shall review the construction of the Hilbert and Picard superschemes and also of the (super) moduli of  SUSY (supersymmetric) curves (also with Neveu-Schwarz and Ramond-Ramond punctures). If time allows I shall also present some other applications, such as SUSY-motives of the moduli superstack of stable maps from SUSY curves to a fixed superscheme.

U. Bruzzo