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.

January 23rd to 27th, 2023

Operads in Malaga

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.

January 23rd to 27th, 2023

Operads in Malaga