Found 13 result(s)
Colloquium YangHui He (London Institute, Ri and City, University of London)
at: 19:30 room Faraday Theatre  abstract: To many people, the phrase â€œthe theory of everythingâ€ conjures memories of the Oscarwinning film about the life and science of Prof. Stephen Hawking. Yet the quest referred to in that title goes back much further. It is nothing less than the search for the holy grail of science: an elegant unified theory, encompassing all matter, forces and spacetime itself. It stretches from Galileo and Newton, via Einstein and Dirac, to the most recent advances in superstring theory. In this event, Prof. YangHui He presents the story as a dance of discovery between data, physics and mathematics, each anticipating the otherâ€™s moves. They have all taken the lead at different times, yet for many today, including Prof. He, the guiding principle is the rigour and beauty of mathematics. It is fitting that this event is held at the Royal Institution, where Faraday uncovered the principles of electromagnetism. These inspired Maxwell's equations, a key component of any unifying theory. 
Polygon Seminar YangHui He (City)
at: 13:00 room Online  abstract: We briefly overview how historically string theory led theoretical physics first to algebraic/differential geometry, and then to computational geometry, and now to data science. Using the CalabiYau landscape  accumulated by the collaboration of physicists, mathematicians and computer scientists over the last 4 decades  as a startingpoint and concrete playground, we then launch to review our recent programme in machinelearning mathematical structures and address the tantalizing question of how AI helps doing mathematics, ranging from geometry, to representation theory, to combinatorics, to number theory. Zoom Link: https://us02web.zoom.us/j/83496714171?pwd=bld3QmQ2c21laWxEWTd6ejVQbjZ5dz09 (contact dionysios.anninos@kcl.ac.uk for password) 
Regular Seminar YangHui He (City)
at: 15:00 room B103  abstract: We establish a precise correspondence between the ABC Conjecture and N=4 superYangMills theory. This is achieved by combining three ingredients: (i) Elkies' method of mapping ABCtriples to elliptic curves in his demonstration that ABC implies Mordell/Faltings; (ii) an explicit pair of elliptic curve and associated Belyi map given by KhadjaviScharaschkin; and (iii) the fact that the bipartite branetiling/dimer model for a gauge theory with toric moduli space is a particular dessin d'enfant in the sense of Grothendieck. We explore this correspondence for the highest quality ABCtriples as well as large samples of random triples. The Conjecture itself is mapped to a statement about the fundamental domain of the toroidal compactification of the string realization of N=4 SYM. 
Regular Seminar YangHui He (City)
at: 14:00 room G.O. Jones 610  abstract: We study the web of correspondences linking the exceptional Lie algebras E8,7,6 and the sporadic simple groups Monster, Baby and the largest Fischer group. We will survey some old observations from the perspective of Moonshine and representation theory and present some new ones from that of congruence groups and enumerative geometry. Based on joint work with John McKay. 
Regular Seminar YangHui He (City University)
at: 13:15 room G.01  abstract: Inspired by the multiplicative nature of the Ramanujan modular discriminant, Delta, we consider physical realizations of certain multiplicative products over the Dedekind etafunction in two parallel directions: the generating function of BPS states in certain heterotic orbifolds and elliptic K3 surfaces associated to congruence subgroups of the modular group. We show that they are, after string duality to type II, the same K3 surfaces admitting Nikulin automorphisms. In due course, we will present some identities arising from qexpansions as well as relations to the sporadic Mathieu group M24. 
Triangular Seminar YangHui He (City University)
at: 15:30 room Francis Bancroft 1.15  abstract:

Regular Seminar YangHui He (City University)
at: 13:00 room H341  abstract: We establish a correspondence between generalized quiver gauge theories in fourdimensions and congruence subgroups of the modular group, hinging upon the trivalent graphs which arise in both. The gauge theories and the graphs are enumerated and their numbers are compared. The correspondence is particularly striking for genus zero torsionfree congruence subgroups which are crucial to Moonshine. We analyze in detail the case of index 24, where modular elliptic K3 surfaces emerge: here, the elliptic jinvariants can be recast as dessins d'enfant which dictate the SeibergWitten curves. 
Regular Seminar YangHui He (Oxford University)
at: 13:30 room Oakden  abstract: We present some new perspectives on N=1 gauge theories, especially SQCD, DBrane Quiver Theories and the MSSM, from the standpoint of recent advances in computational and algorithmic algebraic geometry and commutative algebra. We introduce the plethystic program which systematically count gauge invariants and encodes certain hidden symmetries. Moreover, we discuss special structures of the vacuum moduli space, such as that of SQCD being CalabiYau. 
Regular Seminar YangHui He (Oxford University)
at: 14:00 room Huxley 503  abstract: We point out a special corner in the space of CalabiYau compactifications where standardlike models tend to emerge. We show how these scenarios are interrelated via a mathematical process of transgression of bundles, a generalisation of the conifold transition. Perhaps our world is special and we live in this oasis within the multitude of vacua. 
Regular Seminar YangHui He (Oxford)
at: 13:30 room Ballroom, 58 Princes Gate  abstract: We show the existence of an N=1 supersymmetric vacuum in string theory whose observable sector has exactly the matter content of the MSSM without exotic particles and vectorlike pairs of any type. This is done so by compactifying the E_8 x E_8 heterotic string on a CalabiYau threefold endowed with an SU(4) vector bundle which has been constructed after extensive search. In addition, we discuss the Yukawa couplings and Higgs muterms in this model. 
Regular Seminar YangHui He (University of Pennsylvania)
at: 13:15 room 423  abstract:
