The MathNet Korea
Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

2018 KAIST Math. Colloquium

2018 KAIST Math. Colloquium

2018 KAIST Math. Colloquium

2018 KAIST Math. Colloquium

2018 KAIST Math. Colloquium

2018 KAIST Math. Colloquium

2018 KAIST Math. Colloquium

POSTECH 물리학과 세미나

POSTECH 물리학과 세미나

POSTECH 물리학과 세미나

2018 KAIST Physics Seminar

2018 KAIST Physics Seminar

2018 KAIST Physics Seminar

한국고등과학원 세미나

The observation of Gravitational Waves (GWs) by the LIGO/Virgo Collaborations provides new opportunities to explore the fundamental laws of the Universe. GW physics is indeed not only relevant for our understanding of gravity but also for probing the interplay between particle physics and cosmology. Therefore, I discuss on one side how the waveforms observed by LIGO/Virgo allow us to test General Relativity and to put constraints on modified theories of gravity, in particular on the scale of a hypothetical noncommutative space-time. On the other side, I emphasise how the potential detection of GWs produced from first-order phase transitions in the early Universe is able to provide valuable information for particle physics beyond the Standard Model.

한국고등과학원 세미나
  • Title : Dark Universe
  • Speaker : Jonghee yoo
  • Data : 2018-08-20 16:00:00
  • Host : KIAS
  • Place :

It has now been proven that the Universe is mostly filled with what we cannot see; dark energy and dark matter. The presence of dark matter had profound consequences on the evolution of the Universe. The Standard Model does not accommodate a suitable dark matter candidate. Therefore the existence of dark matter is a crucial phenomenological evidence for physics Beyond the Standard Model. The pressing goal of current and future dark matter experiments is to answer the question of whether dark matter interacts with normal matter other than gravity; i.e. if dark matter is detectable. Among the plethora of dark matter candidate particles, the Weakly Interacting Massive Particles (WIMPs) and the Axions are the most outstanding contender. In this talk, I will discuss about the dark matter axion search experiment at KAIST/IBS.

한국고등과학원 세미나

There has been great attention in realizing unconventional superconducting states in topological materials. Among these, one particularly interesting phase is characterized by a finite momentum of the Cooper pair, which is analogous to the Fulde-Ferrell-Larkin-Ovchinnikov(FFLO) superconducting state. In this talk, I propose utilizing the proximity effect of topological insulator as a new platform to realize finite momentum Cooper pairing. In addition, I show that this phase can be experimentally identified by a unique Josephson junction transport signature. I will conclude with recent experiment showing a promising transport signature, and compare with the simulation that confirms the experimental result.

한국고등과학원 세미나

한국고등과학원 세미나

[1] S. S. Chern, Simple proofs of two theorems on minimal surfaces, Enseig. Math. (2), 15 (1969), 53-61. [2] M. do Carmo, C. K. Peng, Stable complete minimal surfaces in R^3 are planes, Bull. Amer. Math. Soc. (N.S.) 1 (1979), no. 6, 903-906. [3] R. Finn, R. Osserman, On the Gauss curvature of non-parametric minimal surfaces, J. Analyse Math. 12 (1964), 351-364. [4] L. Simon, The minimal surface equation, Geometry, V, 239-272, Encyclopaedia Math. Sci. 90, Springer, Berlin, 1997.

한국고등과학원 세미나

Via the Taylor-Wiles method, problems in modularity lifting can be reduced to questions on local Galois deformation spaces. In a limited number of cases (e.g. for elliptic curves over Q ) their geometry is understood using moduli of finite flat group schemes. But in general it is related to affine flag varieties over Zp and determined by transcendental conditions via p-adic Hodge theory. In this talk we show that such conditions can be algebrized in most cases, obtaining properties as their connectedness, with applications to modularity lifting theorems, Serre weight, and Breuil-M´ezard conjectures. This is joint work with Dan Le, Bao Le Hung and Brandon Levin

한국고등과학원 세미나

For a connected semisimple complex algebraic group G and an involution of G, if H is a closed subgroup of G lying between the invariant subgroup of the given involution and its normalizer, then we say that the homogeneous space G/H is a symmetric space. Vust proved that a normal G-variety together with an equivariant open embedding of a symmetric space, called a symmetric variety, is a spherical variety. From the Luna-Vust theory on spherical varieties, embeddings of spherical homogeneous spaces are classified via colored fans. In 2011, Ruzzi classified smooth projetive symmetric varieties with Picard number 1 by case-by-case study using colored fans. In this talk, I will explain the Liouville property of nonhomogeneous smooth projective symmetric varieties with Picard number 1 whose restricted root systems are of type A2. Note that these varieties can be described as hyperplane sections of the Legendrian varieties in the Freudenthal-Tits magic square.