Ph.D. Presentation

Speaker: Alejandro Santacruz Hildago (Western)

"TBA"

Time: 15:30 - 15:00

Room: MC 107

Ph.D. Presentation

Speaker: Marwa Tuffaha (Western)

"TBA"

Time: 16:00 - 16:30

Room: MC 107

Ph.D. Presentation

Speaker: Doli Rani Pal (Western)

"TBA"

Time: 16:30 - 17:00

Room: MC 107

Ph.D. Presentation

Speaker: Sayantan Roy Chowdhury (Western)

"TBA"

Time: 09:30 - 10:00

Room: Zoom

Ph.D. Presentation

Speaker: Jason Palombaro (Western)

"TBA"

Time: 10:00 - 10:30

Room: Zoom

Department Meeting

Speaker: (Western)

"Dept Meeting"

Time: 15:30 - 16:30

Room: MC 108

Geometry and Topology

Speaker: Adrian Clough (NYU Abu Dhabi)

"The homotopy theory of differentiable sheaves"

Time: 15:30 - 16:30

Room: MC 107

Many of the topological spaces involved in geometric topology, such as spaces of embedded manifolds, have complicated topologies that are difficult to specify and to manipulate. As already observed in the work of Galatius-Madsen-Tillmann-Weiss as well as Kupers, these spaces are often much easier to construct in the topos $Diff_{\leq 0}$ of set-valued sheaves on manifolds, and may moreover be endowed with naturally occurring smooth structures. Viewing $Diff_{\leq 0}$ as a subcategory of the infinity topos $Diff$ of homotopy-type valued sheaves - the eponymous differentiable sheaves - we will give conceptual proofs of how $Diff_{\leq 0}$ provides a model for the theory of homotopy types, and exhibit many good formal properties of $Diff_{\leq 0}$, such as the fact that all filtered colimits are homotopy colimits in $Diff_{\leq 0}$. By endowing $Diff$ with certain homotopical calculi, we are moreover able to obtain a generalisation of Berwick-Evans, Boavida de Brito, and Pavlov's result that for any (paracompact Hausdorff) manifold $A$, and homotopy-type valued Sheaf $X$ the mapping sheaf $Diff(A,X)$ computes the mapping space of the underlying homotopy types of $A$ and $X$.

Ph.D. Presentation

Speaker: Oussama Hamza (Western)

"TBA"

Time: 15:30 - 16:00

Room: MC 107

Ph.D. Presentation

Speaker: Udit Mavinkurve (Western)

"TBA"

Time: 16:00 - 16:30

Room: MC 107

Ph.D. Presentation

Speaker: Nathan Pagliaroli (Western)

"TBA"

Time: 16:30 - 17:00

Room: MC 107

Geometry and Topology

Speaker: Anibal Medina Mardones (Western)

"Framed Polytopes and Higher Categories"

Time: 15:30 - 16:30

Room: MC 107

A framed polytope is the convex closure of a finite set of points in $\mathbb{R}^n$ together with a basis. An $n$-category is a category that is enriched in $(n-1)$-categories. Although these concepts may initially appear to be distant peaks in the mathematical landscape, there exists a trail connecting them, blazed in the 90's by Kapranov and Voevodsky. We will traverse this path, widening and improving it as we address some of their conjectures along the way.

Ph.D. Presentation

Speaker: Alan Flatres (Western)

"TBA"

Time: 15:30 - 16:00

Room: MC 107

Ph.D. Presentation

Speaker: Manimugdha Saikia (Western)

"TBA"

Time: 16:00 - 16:30

Room: MC 107

Ph.D. Presentation

Speaker: Ruchita Amin (Western)

"TBA"

Time: 16:30 - 17:00

Room: MC 107