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I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
The Keller-Segel system is known to exhibit rich dynamical behaviors including singularity formation with self-similarity structure. The talk presents recent developments in the study of blowup for th...
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
We focus on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the nest t-stabilities on certain triangulate...
We report the work of Boucksom-Demailly-Paun-Peternell, which shows that a holomorphic line bundle on a projective manifold is pseudoeffective iff its degree on any member of a covering family of curv...
In this talk, I will give some of the context and a sketch of the proof of the following result which I proved a while ago: It is consistent (relative to a Mahlo catrdinal) that there is a projective ...
The Zariski dense orbit conjecture of the arithmetic dynamic is to study the existence of a rational point P with a Zariski dense orbit of a dominant rational self-map f of a projective variety X. Whe...
为促进加权射影空间与代数表示理论方面的前沿学术交流,2016年3月5日,国际学术会议“Workshop on Weighted Projective Spaces and Representation Theory”在中国科学技术大学数学科学学院召开。与会代表四十余人,包括著名代数学家Osamu Iyama、Henning Krause、Helmut Lenzing和Claus Michael R...
The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
THE MODULI SPACE OF WEIGHTED CONFIGURA TIONS ON PROJECTIVE SPACE.
We use the general theory developed in our article [1] in the setting of parabolic geometries to reprove known results on special in nitesimal automorphisms of projective and conformal geometries.
T. The deformation space t(E) of convex Rp2_ structures on a closed surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR) of equivalence classes of representations r1 (l) -- ...
The purpose of this paper is to investigate convex real projective structures on compact surfaces. Let RP2 be the real projective plane and PGL(3, R) the group of projective transformations RP2 —...

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