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16:30 -- 18:00 Ȋwȓ()
Tea: 16:00 -- 16:30 R[

415 -- 056, 16:30 -- 18:00

Ki Hyoung Ko (KAIST)

Rational homology concordances of knots and links

We discuss links in a rational homology sphere and an appropriate concordace relation among them and then discuss algebraic invariants, especially that can be derived from manifolds bounded by links. We demonstate that this concordance theory is rich and interesting by giving some examples and applications.

422 -- 056, 16:30 -- 18:00

Daniel Matei (ww@Ȋw)

Homology of coverings of $3$-manifolds and Milnor's $\mu$-invariants

Consider a $3$-manifold $M$ which is a $Z_k$-homology sphere, where $k$ is zero or a positive integer. If $L$ is a link in $M$ denote by $X$ its complement. Let $Y$ be a $p$-cyclic covering of $X$, and $N$ be a $p$-cyclic covering of $M$ branched along $L$. We relate the $p$-torsion part of the homology groups $H_1(Y)$ and $H_1(N)$ with the $\mu$-invariants of the link $L$.

56 -- 056, 16:30 -- 18:00

G (ww@Ȋw)

Variation of toric hyperKahler manifolds

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513 -- 056, 16:30 -- 18:00

c V (s嗝w)

Recursive formulae for the A-polynomials of knots

abstract: We introduce various techniques to compute the A-polynomial for a number of knots.

520 -- 056, 16:30 -- 18:00

V Kq (kCwٍZ)

Real K3 surfaces with anti-symplectic involutions of type (S,)

Real K3 surfaces with anti-symplectic involutions of type (S,) ɂāCS=U(2)̏ꍇɂāCintegral involutions̓^ނƂ̑ΉC integral involutionŝ̕sϗʂ̈ʑI߂ɂďqׂD

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610 -- 056, 17:00 -- 18:30

؈ r (ww@Ȋw)

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617 -- 056, 16:30 -- 18:00

c ɒmN (kCww@w)

Variations on Zariski-van Kampen Theorem

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624 -- 056, 16:30 -- 18:30

ʃZ~i[@g|W[ƃRs[^

r  (Pumatech Japan)

eZ[V͗lƃtN^}ɂNCQ̎o

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Feature based modeling Feature recognition

71 -- 056, 16:30 -- 18:00

c (wHw)

Spectral Geometry of Crystal Lattices

A crystal lattice, named after microscopic configulations of atoms in crystals, is an infinite graph X admitting a free abelian group , called a lattice group of X, which acts freely on X and yields a finite quotient X0 = _ X. The square lattice, hexagonal lattice, and triangular lattices are typical examples of crystal lattices. The main purpose of this talk is to discuss the spectral properties of the transition operator L on a crystal lattice X associated with a periodic random walk. A fine structure of the Gromov-Hausdorff limit of a crystal lattice is discussed in connection with the large deviation principle and " Bloch theory" for transition operators twisted by real characters of the lattice group . A convex polyhedron constructed in a combinatorial way plays a significant role. What we should have in mind in the course of the discussion is that the operator I-L is regarded as a discrete analogue of the Laplacian + vector field (a drift term). Actually some of our discussion work well for diffusion processes on "periodic" manifolds.

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