seminars:alge
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seminars:alge [2024/03/09 23:32] alex |
seminars:alge [2024/04/28 23:06] (current) daniel |
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| - | * **March 19**\\ <html> <span style="color:blue;font-size:120%"> ? ( University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract | + | * **March 19**\\ <html> <span style="color:blue;font-size:120%"> No Meeting </span></html> \\ |
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| - | * **March 26**\\ <html> <span style="color:blue;font-size:120%"> Andrew Velasquez-Berroteran (Binghamton University) </span></html> \\ **//Title TBA//** \\ \\ <WRAP center box 90%> **//Abstract//**: TBA | + | * **March 26**\\ <html> <span style="color:blue;font-size:120%"> No Meeting </span></html> \\ |
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| * **April 2**\\ <html> <span style="color:blue;font-size:120%"> Omar Saldarriaga (Highpoint University) presented on Zoom </span></html> \\ **//The Lie algebra of the transformation group of certain affine homogeneous manifolds//** \\ \\ <WRAP center box 90%> **//Abstract//**: In this talk we will show that, under certain algebraic conditions, a bi-invariant linear connection $\nabla^+$ on a Lie group $G$ induces an invariant linear connection $\nabla$ on a homogeneous space $G/H$ so that the projection $\pi:G\to G/H$ is an affine map. We will also show that if the subgroup $H$ is discrete, there is a method to compute the Lie algebra of the group of affine transformations of $G/H$ preserving the connection $\nabla$. As an application, we will exhibit the Lie algebra of the group of affine transformations of the orientable flat affine surfaces. | * **April 2**\\ <html> <span style="color:blue;font-size:120%"> Omar Saldarriaga (Highpoint University) presented on Zoom </span></html> \\ **//The Lie algebra of the transformation group of certain affine homogeneous manifolds//** \\ \\ <WRAP center box 90%> **//Abstract//**: In this talk we will show that, under certain algebraic conditions, a bi-invariant linear connection $\nabla^+$ on a Lie group $G$ induces an invariant linear connection $\nabla$ on a homogeneous space $G/H$ so that the projection $\pi:G\to G/H$ is an affine map. We will also show that if the subgroup $H$ is discrete, there is a method to compute the Lie algebra of the group of affine transformations of $G/H$ preserving the connection $\nabla$. As an application, we will exhibit the Lie algebra of the group of affine transformations of the orientable flat affine surfaces. | ||
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| - | * **April 9**\\ <html> <span style="color:blue;font-size:120%"> Luna Elliott (Binghamton University) </span></html> \\ **//Title TBA//** \\ \\ <WRAP center box 90%> **//Abstract//**: TBA | + | * **April 9**\\ <html> <span style="color:blue;font-size:120%"> Luna Elliott (Binghamton University) </span></html> \\ **//How semigroup people think about (inverse) semigroups//** \\ \\ <WRAP center box 90%> **//Abstract//**: I will give a beginner friendly introduction to semigroups, inverse semigroups and the concepts which are well-known and heavily used by people in these areas. These include green's relations free objects, wagner-preston and special subclasses of these objects. I'm very open to going on tangents if people want me to talk more about anything in particular. |
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| - | * **April 16**\\ <html> <span style="color:blue;font-size:120%"> Rachel Skipper (University of Utah) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract | + | * **April 16**\\ <html> <span style="color:blue;font-size:120%"> Rachel Skipper (University of Utah) </span></html> \\ **//Computing Scale in Neretin's group//** \\ \\ <WRAP center box 90%> **//Abstract//**: For an automorphism of a totally disconnected, locally compact (tdlc) group, Willis introduced the notion of scale which arose in the development of the general theory of these groups. In this talk, we will discuss the setting where the tdlc group is Neretin's group and where the automorphism comes from conjugation in the group. This is an ongoing joint work with Michal Ferov and George Willis at the University of Newcastle. |
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| * **April 23**\\ <html> <span style="color:blue;font-size:120%"> No Algebra Seminar - Passover Break </span></html> \\ | * **April 23**\\ <html> <span style="color:blue;font-size:120%"> No Algebra Seminar - Passover Break </span></html> \\ | ||
| - | * **April 30**\\ <html> <span style="color:blue;font-size:120%"> ? ( University) </span></html> \\ **//Title//** \\ \\ <WRAP center box 90%> **//Abstract//**: Text of Abstract | + | * **April 30**\\ <html> <span style="color:blue;font-size:120%"> Andrew Velasquez-Berroteran (Binghamton University) </span></html> \\ **//Neuroscience: An Algebraic and Topological Viewpoint//** \\ \\ <WRAP center box 90%> **//Abstract//**: Neuroscience is the study of the nervous system, and one popular aspect of the nervous system is the brain. Many fields of mathematics have contributed to neuroscience research which include but are not limited to statistics, partial differential equations, dynamics and mathematical physics, etc. |
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| + | In this talk, I will talk about a brief overview of how algebra and topology has recently been used in the study of the brain. We will primarily be looking at neural coding, and at the end talk about what’s known as the neural ring and neural ideal. I will present under the assumption that attendees will have basic ring theory and topology knowledge but no background knowledge in neuroscience. | ||
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seminars/alge.1710045122.txt · Last modified: 2024/03/09 23:32 by alex