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* [[massive integrable perturbations of CFT and quasi-particles]] * [[fractional and exclusion statistics]]

..._0zyWYJGUakC&printsec=frontcover&dq=Application+of+group+theory+in+physics+and+mathematical+physics&source=bl&ots=q5F83jIVbm&sig=ii3X3aeugpTZMFa1DfiGnPOkP * loop groups and positive energy representation

...lating Mahler measures to special values of L-functions of elliptic curves and they also show up in hyperbolic geometry. In this talk, I will give an intr * [[Mahler measure and L-values of elliptic curves]]

==lecture 1 perturbation method== * <math>x^4\sim -1/\epsilon\, \quad (\epsilon \to 0)</math> and thus

[[분류:talks and lecture notes]]

* scaling and power law * scale invariance and conformal invariance

* integral form and integral basis ? answer later ...<math>l\in \in\mathbb{Z}_{\geq 0}</math> such that <math>v_m\neq 0</math> and <math>v_{m+1}=0</math>

...t well understood. In this talk I will review the basic properties of them and introduce the conjecture of Kuniba-Nakanishi-Suzuki on generalized Rogers-R ==review of affine Lie algebras and their integrable representations==

...of view. This involves the Heisenberg group, the Stone-von Neumann theorem and the Weil representation of the metaplectic group. I will give an introducti * Mumford, David, M. Nori, and P. Norman. Tata Lectures on Theta III. Boston: Birkhäuser, 2006.

and * real analytic function on <math>\mathbb{C}</math> except at 0 and 1, where it is continuous but not differentiable.

...well-understood. In this talk I will review the basic properties of them, and explain certain connections with finite-dimensional representations of quan ==review of affine Lie algebras and their integrable representations==

* In general, there are more terms involved in a BGG resolution and choosing right homomorphisms is not easy * we can describe <math>D_0</math> and <math>D_m</math> explicitly

...math> denotes the Riemann zeta function, <math>B_k</math> Bernoulli number and <math>\sigma_r(n)=\sum_{d|n}d^r</math> Let <math>M_k</math> be the space of modular forms of weight <math>k</math> and <math>M:=\bigoplus_{k\in \mathbb{Z}_{\geq 0}} M_k</math>. We have

* bin. quad. forms and class number relations * <math>\Qp</math> : <math>p</math>-adic completion of <math>\Q</math>, and <math>\Zp</math> : ring of int.