Home » Articles posted by Victoria Hain (Page 2)
Author Archives: Victoria Hain
Alex Kinsella: Lectures
April 11, 2019
TITLE: Heterotic Duals of MTheory on Joyce Orbifolds
ABSTRACT:
Slides of Lecture
Gordon Kane: Lectures
April 11, 2019
TITLE: Hidden Sectors and Associated Physics — Supersymmetry Breaking, Dark Matter, de Sitter Vacuum
ABSTRACT: Compactifications on G2 manifolds lead to theories that describe the world well. As we understand G2 manifolds better we can test and improve this situation. Hidden sectors generically accompany G2 manifolds, and in turn lead to important physics – in particular supersymmetry breaking, De Sitter vacua, and candidates for the dark matter of the universe.
Slides of Lecture
Shamit Kachru: Lectures

 4/08/2019: K3 Metrics from Little String Theory
April 8, 2019
TITLE: K3 Metrics from Little String Theory
ABSTRACT: I explain how one can find formulae for Ricci flat metrics on K3 surfaces by using data about the BPS spectrum of an auxiliary (compactified) little string theory. Well known approximations to such metrics, like the semiflat approximation and the GrossWilson metric, arise as limits of this formalism.
Jonathan Heckman: Lectures
April 12, 2019
TITLE: FTheory and Spin7 Manifolds
ABSTRACT:
We discuss some recent progress in understanding 4D vacua obtained from Ftheory on Spin(7) manifolds. Such backgrounds provide a potentially attractive way to avoid finetuning to cancel zero point energies. We present a general proposal for cosmological solutions in this framework, and also develop the physical formalism of local Spin(7) geometries containing a fourmanifold of ADE singularities.
Based on work with C. Lawrie, L. Lin, and G. Zoccarato, hepth/1811.01959
and C. Lawrie, L. Lin, J. Sakstein and G. Zoccarato, hepth/1901.10489.
MarcAntoine Fiset: Lectures

 4/12/2019: Mirror Symmetry for G2 Compactifications
April 12, 2019
TITLE: Mirror Symmetry for G2 Compactifications
ABSTRACT:
Mirjam Cvetic: Lectures

 4/11/2019: M3branes and Tbranes in G2 Backgrounds
April 11, 2019
TITLE: M3branes and Tbranes in G2 Backgrounds
RELEVANT REFERENCE:
http://arXiv.org/abs/1906.02212
Shigeru Mukai: Lectures
January 9, 2019
TITLE: Prime Fano 3folds and BNgeneral K3s
ABSTRACT: Fano 3folds with 2nd Betti number one are classified into 17 deformation types. The anticanonical degree 2g2 and the 3rd Betti number 2p are their basic numerical invariants. The sum g+p varies from 12 to 54, and the minimum 12 is attained in 3 cases. In this talk I will explain the linear section theorem in the case (g,p)=(10,2): a prime Fano 3fold of g=10 is obtained from the (5dimensional) G2adjoint variety by taking hyperplane section p=2 times. The basic tool is a rigid, or spherical, vector bundle on a K3 surface S in the anticanonical linear system. The key property of S used in the proof is the BNgenericity.
Diego Matessi: Lectures
 01/07/2019: Polarized tropical manifolds and Lagrangian torus fibrations
 01/09/2019: Conifold transitions and deformations of polarized tropical manifolds
January 7, 2019
TITLE: Polarized tropical manifolds and Lagrangian torus fibrations
ABSTRACT: I will review the notion of polarized tropical manifolds which are the basic combinatorial objects in the GrossSiebert program. These can be viewed as the basis of a Lagrangian torus fibration on a symplectic CalabiYau manifold, but via the Legendre tranfsform they also provide the starting data for the reconstruction of the mirror family using the GrossSiebert algorithm.
January 9, 2019
TITLE: Conifold transitions and deformations of polarized tropical manifolds
ABSTRACT: Conifold singularities have a nice description in terms of polarized tropical manifolds. I will describe a result where the obstructions to the existence of symplectic resolutions (SmithThomasYau) and of the complex smoothings on the mirror (FriedmanTian) can be both read in terms of certain tropical cycles. This suggests an approach, via the GrossSiebert program, to Morrison’s Conjecture stating that the mirror of a resolution is a smoothing of the mirror. In a joint work with Helge Ruddat this idea leads to the notion of a deformation of a polarized tropical manifold induced by a tropical cycle.
Michele Del Zotto: Lectures
April 9, 2019
TITLE: Selected topics about 5d theories and geometry
ABSTRACT:
January 11, 2019
TITLE: Aspects of 5d SCFTs and their gauge theory phases
ABSTRACT: In this talk I will revist the geometric engineering of fivedimensional supersymmetric conformal field theories (SCFTs) in Mtheory after Intrilligator, Morrison and Seiberg. This esablishes a conjectural bijection assigning to each local isolated CalabiYau threefold singularity a fivedimensional superconformal field theory and viceversa. Focusing on the toric case, I will discuss applications of IIA/Mtheory fiberwise duality (i.e. a peculiar instance of collapse) to characterizing the possible gauge theory phases of these systems. This geometric setup clarifies the notion of “UV duality” for such theories. Along the way, I will provide a novel gauge theoretical expression for the 5d prepotential, accounting correctly for the 5d parity anomaly. Based on the preprint arXiv:1812.10451, with Cyril Closset and Vivek Saxena.
Sébastien Boucksom: Lectures
January 8, 2019 and January 9, 2019
TITLE: The essential skeleton of a CalabiYau degeneration
ABSTRACT: To any meromorphic degeneration of complex projective varieties corresponds a projective variety over the field of Laurent series, and hence a nonArchimedean analytic space in the sense of Berkovich. This applies in particular to a degeneration of polarized CalabiYau manifolds, and has been used in recent years by Nicaise, Xu and their collaborators to approach a version of the StrömingerYauZaslow conjecture due to KontsevichSoibelman. I will provide a gentle introduction to this circle of ideas, mostly based on a joint work with Jonsson, in which the limit of CalabiYau volume forms in the associated Berkovich space is analyzed.