in the late 1980's, after jones' define his polynomial, there is a revolution in this area, followed by witten's reinterpreting jones polynomial by using chern-simons theory and predicting new quantum invariants. finally reshetikhin-turaev was the first one to define a mathematically rigorous theory of such complex-valued invariant for closed 3-manifolds. more importantly, reshetikhin-turaev define their invariant not only at roots of unity $q(1)$ originally considered by witten but also at other roots of unity. later turaev-viro defined a real valued invariants for closed 3-manifolds by triangulation both at $q(1)$ and other roots of unity. in 1997, kashaev discover his invariants of hyperbolic knots will become exponentially large as $n->infinity$ and he further conjectured that the growth rates corresponds to hyperbolic volume of complement of that knot in $s^3$. in 2001, h. murakami-j. murakami extend kashaev's volume conjecture from hyperbolic knots to all knots and hyperbolic volume to simplicial volume by using colored jones polynomials. for many years, witten-reshetikhin-turaev invariants evaluated at $q(1)$ was considered to be only polynomial growth and its asymptotic expansion is called wae conjecture (witten's asymptotic expansion). last year, in a joint work with t. yang, we first define a real valued turaev-viro type invariant for 3-manifold with boundary by using ideal triangulation. then we discovered this turaev-viro type invariant and reshetikhin-turaev invariant evaluated at other roots of unity (especially at $q(2)$) will have exponentially large phenomenon and the the growth rates corresponds to volume of 3-manifold with boundary and volume of closed 3-manifold respectively. thankful to the new tool developed by ohtsuki recently, asymptotic expansion of kashaev invariants (including volume conjecture) up to 7 crossing has been solved. this new tool can also be used to attack my volume conjecture with tian yang. i will give a brief introduction for all these new developments. finally we expect reshetikhin-turaev at roots of unity other than $q(1)$ could have a different geometry/physics interpretation than original chern-simons theory given by witten in 1989.