Metroplex Algebraic Geometry, Algebra and Number
Theory (AGANT) Seminar,
a joint venture of
Date/Time/Room: Wednesday (04/8/2015) at 2:10
pm in 111 Pickard Hall
Frank Sottile, Department
of Mathematics, Texas A&M
"Higher Convexity of
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
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.
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