Conveners
Contributed Talks
- Tommaso Rossi (Università di Bologna)
- Biplab Basak (Indian Institute of Technology Delhi)
- Ayushi Trivedi (Indian Institute of Technology Delhi)
- Julian Brüggemann (Ayushi)
Contributed Talks
- Andrés Carnero Bravo (Centro de Ciencias Matemáticas, UNAM)
- Shuchita Goyal (BITS Pilani, India)
- Mariam Pirashvili (University of Plymouth)
Contributed Talks: 3
- Pratiksha Chauhan (Indian Institute of Technology Mandi)
- Giulia Maria Menara (Università degli Studi di Milano-Bicocca)
In this talk, we characterize normal $3$-pseudomanifolds $K$ with $g_2(K) \leq 4$. It is known that if a normal $3$-pseudomanifold $K$ with $g_2(K) \leq 4$ has no singular vertices, then it is a triangulated $3$-sphere. We first prove that a normal $3$-pseudomanifold $K$ with $g_2(K) \leq 4$ has at most two singular vertices. Subsequently, we show that if $K$ is not a triangulated $3$-sphere,...
The Hopf map is a continuous map from the $3$-sphere to the $2$-sphere, exhibiting a many-to-one relationship, where each unique point on the $2$-sphere originates from a distinct great circle on the $3$-sphere. This mapping is instrumental in generating the third homotopy group of the $2$-sphere. In this talk, I will present a minimal pseudo-triangulation of the Hopf map and establish its...
Let B_n be the braid group with n-strands and Z(B_n) its center. The (integral) homology of B_n was computed in the seventies by F. Cohen. In this talk we will see how to compute the homology of H_*(B_n/Z(B_n); F_p) for any n natural number and p prime. The approach will be topological, since the classifying space of B_n/Z(B_n) can be realized as the homotopy quotient C_n(R^2)//S^1, where...
This talk is based on the preprint arXiv:2506.02999. Circle-valued functions provide a natural extension of real-valued functions, where instead of measuring values along a linear scale the values lie on a circle. This opens up new possibilities for analysing data in settings where the underlying structure is periodic or has a direction associated to it. There has been significant work on...
A transfer system on a poset P is a wide subcategory of P closed under pullbacks. Since the data of a model structure can be entirely determined by its classes of weak equivalences (W) and acyclic fibrations (AF) on a lattice, the model category information is given by the class W and a transfer system, AF contained in W. This talk focuses on how this transfer system changes when a model...
The independence complex of a graph is the simplicial complex with independent sets as simplices. This complex is one of the most studied graph complexes, but to determine its homotopy type is not an easy task even for highly symmetric graphs. In this talk we will focus in the independence complexes of graph products, we will talk about for which families of categorical, strong and...
The study of graph complexes, which are simplicial complexes associated with graphs, has led to deep con- nections between topology and combinatorics. Some well-known examples are neighborhood complexes, clique complexes, independence complexes, and matching complexes. Recently, a new family of graph complexes, called cut complexes, has been introduced. These complexes first appeared in the...
