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27 Geometry and Combinatorics
Geometry and Combinatorics Speaker: Girtrude Hamm (Western) "Classifying spherical canonical Fano 4-folds" Time: 15:30 - 16:30 Room: MC 108 Spherical varieties are a generalisation of toric varieties which have a similar combinatorial description in terms of lattice polytopes. I will discuss methods to extend existing classifications of Gorenstein and canonical toric Fano varieties to the more complicated spherical setting. This is based on joint work with Johannes Hofscheier. |
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31 Transformation Groups Seminar
Transformation Groups Seminar Speaker: Vladimir Gorchakov (Western) "An overview of Bredon cohomology" Time: 09:30 - 11:00 Room: MC 108 In this talk, we will give an introduction to Bredon cohomology, which is an equivariant cohomology theory. We will focus on computations, particularly for the case of the cyclic group of order two. Graduate Seminar
Graduate Seminar Speaker: Tao Gong (Western) "Real toric surfaces modulo reflections" Time: 15:30 - 16:30 Room: MC 108 A polygon is associated to a real toric surface. If the polygon admits some symmetry, then so does the variety. We will see that the quotient of the variety is homotopy equivalent to a wedge sum of circles. |
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3 Geometry and Combinatorics
Geometry and Combinatorics Speaker: Taylor Brysiewicz (Western) "Hollow 4x4 orthogonal matrices" Time: 15:30 - 16:30 Room: MC 108 |
Western Quantiers
Western Quantiers Speaker: Liam Hickey (Western) "An Introduction to Quantum Error Correction III" Time: 15:30 - 16:30 Room: MC 107 Quantum Error Correction (QEC) serves as one of the most important fields, opening pathways to harness the true power of quantum computing. While quantum computing holds potential, this potential cannot be realized without ways to guarantee the stability and reliability of qubits, which are inherently prone to errors.
To address this challenge, I will begin by exploring the origins of error correction, where early methods ensured reliable data transmission without fear of complete loss. From there, I will discuss the challenges of bridging classical and quantum error correction techniques. Finally, I will introduce stabilizer codes, one of the most promising class of codes in QEC. In future talks, I will build on this foundation to explore more advanced stabilizer codes, including topological codes. |
Professional Development Session
Professional Development Session Speaker: Taylor Bryseiwicz (Western) "Mathematical Software" Time: 16:30 - 17:30 Room: MC 107 I will discuss a portion of the vast landscape of mathematical software. |
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Transformation Groups Seminar
Transformation Groups Seminar Speaker: Vladimir Gorchakov (Western) "An introduction to $RO(G)$-graded cohomology theories" Time: 09:30 - 11:00 Room: MC 108 n this talk, we will give an introduction to $RO(G)$-graded cohomology, which, in a certain sense, extends Bredon cohomology. Graduate Seminar
Graduate Seminar Speaker: Siyuan Yu (Western) "The symplectic embeddings of closed balls into the complex projective plane $\mathbb{C}P^2$" Time: 15:30 - 16:30 Room: MC 108 In this presentation, we investigate the embeddings of five disjoint closed balls into the complex projective plane $\mathbb{C}P^2$.
In 1985, Gromov found a new symplectic invariant called Gromov's invariant by studying the embedding of closed balls into a cylinder. This ground-breaking result opens a new era of the research of symplectic geometry. In this presentation, we explore the relationship between the homotopy type of the space of symplectic embeddings and the configuration space of $\mathbb{C}P^2$, focusing on the case of five balls. |
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