International Conference. I. Luengo – “Power Structures”
International Conference, dedicated to the 75th birthday of Sabir M. Gusein-Zade 18.06.25 I. Luengo (Madrid, Spain) Power Structures This talk is based on our joint work with Sabir M. Gusein-Zade and Alejandro Melle-Hernandez that started in 2017 when we introduced the notion of power structure in a ring and defined a power structure in the Grothendieck ring of varieties. Power structures are a powerful tool to deal with geometric or arithmetic settings where motivic generating series play a role, like generating series of the classes of Hilbert schemes of points or Motivic Donaldson-Thomas invariants. We will present the development and several applications of the theory of power structures. More information: https://math.hse.ru/modern_aspects_singularity_theory25/ https://mccme.ru/ru/modern_aspects_singularity_theory2025/
International Conference, dedicated to the 75th birthday of Sabir M. Gusein-Zade 18.06.25 I. Luengo (Madrid, Spain) Power Structures This talk is based on our joint work with Sabir M. Gusein-Zade and Alejandro Melle-Hernandez that started in 2017 when we introduced the notion of power structure in a ring and defined a power structure in the Grothendieck ring of varieties. Power structures are a powerful tool to deal with geometric or arithmetic settings where motivic generating series play a role, like generating series of the classes of Hilbert schemes of points or Motivic Donaldson-Thomas invariants. We will present the development and several applications of the theory of power structures. More information: https://math.hse.ru/modern_aspects_singularity_theory25/ https://mccme.ru/ru/modern_aspects_singularity_theory2025/