Seminario de Álgebra Conmutativa, Geometría Algebraica y Geometría Aritmética

Jueves 18 de febrero a las 10:30 h

Lugar: Teams (contactar con A. Bravo para la inclusión en el equipo)

Conferenciante: Christopher Heng Chiu (Universidad de Viena)

Título: Jet and arc spaces of algebraic varieties

Resumen: In this talk we give a gentle introduction to jet and arc spaces of algebraic varieties from the point of view of singularity theory. On the algebraic side, following Ribenboim and Vojta, we show how jets and arcs correspond to higher derivations of rings. We then summarize some of the most fundamental results of the theory, in particular the formula for the sheaf of differentials of the arc space as proven by de Fernex and Docampo. Plenty of examples will be scattered throughout the talk.