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Metroplex Algebraic Geometry, Algebra and Number Theory (AGANT) Seminar,
a joint venture of   UNT,   UTA   and   TCU

Date/Time/Room: Wednesday (04/8/2015) at 2:10 pm in 111 Pickard Hall

Speaker: Professor Frank Sottile, Department of Mathematics, Texas A&M University.

"Higher Convexity of Co-amoeba Complements"

Abstract: Amoebas and co-amoebas are the images of varieties of the complex algebraic torus under coordinatewise logarithm and argument maps, respectively. As shadows of the original variety, they retain some of its structure. When the variety is a hypersurface, the connected components of the complements of both the amoeba and co-amoeba are convex. Henriques introduced a homological generalization of convexity and proved that complements of amoebas satisfy a weak form of this higher convexity.

In this talk, I will explain these notions and describe some of the structure of co-amoebas, namely their phase limit sets and shells, and then sketch how to use this structure to show that complements of co-amoebas have this higher convexity of Henriques. This is joint work with Mounir Nisse.

An interactive map of UTA may be found at http://www.uta.edu/maps/, which gives both buildings and parking lots (use the menu on the left of the map). Note that PKH is Pickard Hall and is on South Nedderman Drive. S. West St is one-way northbound between W. Mitchell St and 3rd St. Parking is available in the nearby (East and SE of PKH) parking lots with a UTA permit (but many people park there late on Fridays with no permit and are not caught, though there are counterexamples to this statement!). There are a few metered parking spots on the East side of Pickard Hall on S. West St. Visitor (free), & metered, parking is available by Davis Hall (marked DH in SW part of the submap). A parking garage (expensive) is nextdoor to PKH (use West St to get to it).

Note that if heading south on Cooper, then no left turn is allowed to Nedderman Dr. Recommended route from UNT: eventually head south on Hwy 360 (or Industrial Blvd = Collins), West on Abram, south (left) on Center, West (right) on W Mitchell. Then use map. Alternatively, using a west route, get to I30 heading East, & follow directions from TCU given below. From TCU: east on I30, exit Cooper, South on Cooper, left (East) on W. Mitchell, then use map.

The closest door to PKH 111 is located at the corner of S. Nedderman Dr and S. West St.

Questions, etc on arrangements/directions should be sent to Dr Vancliff; if travelling from out of town, notify Dr Vancliff, as we will delay starting the talk for you if you are a little late.

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