2021/2022

29th of March 2022

Wojciech Domitrz

Title: Singularities of the Gauss map components of a surface in R^4

9th of November 2021

Marcin Zubilewicz

Title: A few remarks on symplectic 2-webs

Abstract: The talk is intended to serve as an introduction to a certain local classification problem involving pairs of foliations of complementary dimension, whose leaves intersect transversely and are symplectic with respect to a fixed ambient symplectic form. These structures, which we will tentatively call "symplectic 2-webs", relate to a broad spectrum of known notions: from "symplectic pairs" of G. Bande, P. Ghiggini, D. Kotschick on the more specific side, to "regular tuples" considered in the context of symplectic immersion singularities by W. Domitrz, S. Janeczko, M. Zhitomirskii in the generic case. After introducing the necessary tools, including the natural connection of regular symplectic 2-webs, I will briefly report on my attempts to find local normal forms of these structures.

26th of October 2021

Michał Zwierzyński

Title: Singular sets related with evolutoids

Abstract: We will introduce the singular evolutoids set which is the set of all singular points of all evolutoids of a fixed smooth planar curve with at most cusp singularities. By the Gauss-Bonnet Theorem for Coherent Tangent Bundles over Surfaces with Boundary applied to the extended front of evolutoids of a hedgehog we will obtain an integral equality for smooth periodic functions.