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# Events for 02/05/2020 from all calendars

## IAMCS Seminar

## Groups and Dynamics Seminar

## Graduate Student Organization Seminar

## Student/Postdoc Working Geometry Seminar

**Time:** 09:00AM - 12:00PM

**Location:** Bloc 220

**Title:** *Computational Methods for New Directions in Inverse Problems*

**URL:** *Link*

**Time:** 3:00PM - 4:00PM

**Location:** BLOC 220

**Speaker:** Arman Darbinyan, TAMU

**Title:** *Subgroups of left-orderable simple groups*

**Abstract:** Answering an old question of Rhemtulla, Hyde and Lodha (and later, Matte Bon and Triestino) showed the existence of finitely generated left-orderable simple groups. I will discuss how to extend the result of Hyde and Lodha to show that any countable left-orderable group is a subgroups of a finitely generated left-orderable simple group. Certain computability aspects will also be discussed. Based on a joint work with M.Steenbock.

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 628

**Speaker:** Taylor Brysiewicz

**Title:** *A funny thing about HSO(4)*

**Abstract:** The special orthogonal group SO(4) is an affine algebraic variety of dimension 6 and degree 40 and intersecting it with 4 very particular hyperplanes gives the "hollow special orthogonal matrices" HSO(4), an algebraic variety of dimension 2 and degree 40. Surprisingly, the degree is the same despite the special intersections and even more surprisingly, HSO(4) decomposes into 8 spheres and 6 tori whose intersections are encoded in the polyhedral geometry of the rhombic dodecahedron. A similar phenomenon occurs for SO(5). We will explain what we know about this behavior for SO(4) and SO(5) as well as the computational tools we used to investigate this problem. We hope that this talk serves as an invitation for others to find a more general explanation which extends to other SO(n).

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 624

**Speaker:** P. Gallardo, Wash. U. St. Louis

**Title:** *Applications of GIT to moduli problems*

**Abstract:** We will review recent applications of Geometric invariant theory to the compactifications of varieties. In particular, the relationship of such compactifications with ones from K-stability and Hodge theory.

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