The Geometry, Algebra and Analysis of Algebraic Numbers

Videos from BIRS Workshop 15w5054

, Universite PARIS 6
- 09:28
Mahler measure, regulators and modular units
Watch video | Download video: 201510050902-Bertin.mp4 (61M)
, Université de Montréal
- 10:12
The Mahler measure of elliptic curves
Watch video | Download video: 201510050940-Lalin.mp4 (97M)
, Institut Fourier - CNRS, Université Grenoble Alpes
- 11:01
The method of asymptotic expansions of Poincaré and Mahler measures of univariate polynomials in the Conjecture of Lehmer
Watch video | Download video: 201510051041-Verger-Gaugry.mp4 (56M)
, Christopher Newport University
- 11:42
Using continued fractions to study metric Mahler measures
Watch video | Download video: 201510051116-Samuels.mp4 (70M)
, University of Oregon
- 14:44
Root statistics of random (real) polynomials with bounded Mahler measure
Watch video | Download video: 201510051415-Sinclair.mp4 (78M)
, University of Basel
- 15:39
Counting algebraic integers of fixed degree and bounded height
Watch video | Download video: 201510051516-Barroero.mp4 (59M)
, Vilnius University
- 16:15
Counting dominant and degenerate polynomials
Watch video | Download video: 201510051550-Dubickas.mp4 (75M)
, University of South Carolina
- 09:07
Regions containing roots of polynomials
Watch video | Download video: 201510060845-Filaseta.mp4 (63M)
, Davidson College
- 09:49
Barker Polynomials
Watch video | Download video: 201510060920-Mossinghoff.mp4 (80M)
, Texas A & M University
- 11:25
Coppersmith-Rivlin type inequalities and the order of vanishing of polynomials at 1
Watch video | Download video: 201510061056-Erdelyi.mp4 (80M)
, Waterloo University
- 11:58
Simple linear relations between conjugate algebraic numbers
Watch video | Download video: 201510061130-Jankauskas.mp4 (63M)
, Université de Strasbourg
- 13:56
On the approximation of transcendental numbers by algebraic numbers of bounded degree
Watch video | Download video: 201510061331-Bugeaud.mp4 (107M)
, University of Zagreb
- 14:31
Root separation for reducible integer polynomials
Watch video | Download video: 201510061404-Dujella.mp4 (116M)
, University of Waterloo
- 15:09
Multiplicatively dependent vectors of algebraic numbers
Watch video | Download video: 201510061440-Stewart.mp4 (114M)
, University of Wisconsin
- 15:56
Remarks on diophantine approximation in the multiplicative group and generalized Lehmer problems
Watch video | Download video: 201510061530-Grizzard.mp4 (116M)
, Polish Academy of Sciences
- 09:16
On ternary linear recurrences
Watch video | Download video: 201510070849-Schinzel.mp4 (103M)
, IMPA-Brasil and ICTP-Italy
- 10:27
Extremal Fourier analysis and some applications to number theory
Watch video | Download video: 201510070954-Carneiro.mp4 (146M)
, University of Basel
- 11:23
On Narkiewicz’s property (P)
Watch video | Download video: 201510071054-Pottmeyer.mp4 (94M)
, Vilnius University
- 11:51
On the degree of compositum of two number fields
Watch video | Download video: 201510071130-Drungilas.mp4 (72M)
, Royal Holloway, University of London
- 09:09
Salem numbers of trace -2 and a conjecture of Estes and Guralnick
Watch video | Download video: 201510080845-McKee.mp4 (90M)
, University of Lorraine
- 09:40
Salem numbers with negative trace
Watch video | Download video: 201510080920-Rhin.mp4 (50M)
, Royal Holloway, University of London
- 10:25
A trace bound for positive definite connected integer symmetric matrices
Watch video | Download video: 201510080955-Yatsyna.mp4 (136M)
, Southwest University of China
- 11:30
The auxiliary function and the reciprocal algebraic integers
Watch video | Download video: 201510081057-Wu.mp4 (93M)
, Oklahoma State University
- 12:01
Means of algebraic numbers
Watch video | Download video: 201510081131-Pritsker.mp4 (100M)
, University of Georgia
- 13:58
A survey of arithmetic applications of capacity theory
Watch video | Download video: 201510081330-Rumely.mp4 (69M)
, Oklahoma State University
- 14:33
Effective bounds for unlikely intersections in arithmetic dynamics
Watch video | Download video: 201510081404-Fili.mp4 (77M)
, University of Texas
- 15:03
Galois and Functional Analyses Via Weil Height
Watch video | Download video: 201510081440-Hughes.mp4 (65M)