InSeGTo
Interesting Seminar of Geometry and Topology
Talks during the course 2022/2023
Dates with grey background are yet to be fixed, whereas programmed talks have white background. Next talk appears highlighted with blue background.
October 17th, 2022, Room "Seminario Análisis", 18:00-19:00
Speaker: Francisco Javier Turiel Sandín (Universidad Málaga)
Title: Sobre la dimensión minimal de las orbitas de una acción de Rn
Abstract: Considérese una acción diferenciable de Rn sobre una variedad conexa M, no necesariamente compacta, de dimensión m y rango k. Supóngase que M no es un cilindro. Entonces existe una órbita de la acción de dimensión < (m+k)/2.
Como consecuencia se muestra que si existe un elemento no nulo del anillo de clases de Pontrjagin de M de grado 4r>0, entonces existe una órbita de la acción de dimensión menor o igual que m-r-1.
November 28th, 2022, Room "Seminario Álgebra", 12:30-13:30
Speaker: Özgür Bayındır (City, University of London)
Title: Adjoining roots to ring spectra, algebraic K-theory and chromatic redshift
Abstract: I will start my talk by providing background on ring spectra and algebraic K-theory through applications to manifold topology. After this, I will discuss our method for adjoining roots to ring spectra which we exploit to obtain new algebraic K-theory computations and to provide a conceptual approach to some of the known algebraic K-theory computations. For this, we introduce a new definition of logarithmic THH and show that root adjunction is logarithmic THH-etale.
This is a joint work with Christian Ausoni and Tasos Moulinos.