2006Ç¯

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1·î24Æü¡Ê²Ð¡Ë

3:30 -- 5:00 ¾¾ÅÄ¡¡½¤»á¡ÊÄÅ»³¹âÀì¡Ë

Birational classification of curves on irrational ruled surfaces

2·î13Æü¡Ê·î¡Ë

3:30 -- 5:00 ÊÆÅÄ¡¡ÆóÎÉ»á¡Ê¿ÀÆàÀî¹©Âç¡Ë

¼ï¿ô£¸¤È£¹¤Î¸¶»ÏÅª¤Ç¤Ê¤¤¥ï¥¤¥¨¥ë¥·¥å¥È¥é¥¹È¾·²¤Ë¤Ä¤¤¤Æ

4·î25Æü(²Ð)

3:30--5:00 ·î²¬¡¡Æ©»á

On Fano manifolds containing a divisor isomorphic to projective space

6·î20Æü¡Ê²Ð¡Ë

3:30 -- 5:00 ±°É¹¡¡µ×»á¡Ê·²ÇÏ¹âÀì¡Ë

ÂÊ±ß¶ÊÀþ y^{2}=x^{ 3}+t^{m}+1 ¤Î¥â¡¼¥Ç¥ë¡¦¥ô¥§¥¤¥æ³Ê»Ò

7·î11Æü¡Ê²Ð¡Ë

µÈ¸¶µ×É×»á¡Ê¿·³ãÂç¡Ë

3:00 -- 4:00

Galois embeddings of algebraic varieties

4:15 -- 5:15

Galois embeddings of K3 surfaces

Abstract:

In the first half, we introduce a notion of Galois

embeddings of algebraic varieties and present some of

its basic properties. In the latter half, we consider its

application to K3 surfaces. We will see some new propertiesof K3 surfaces obtained from this point of view.

ÂÀÅÄÍ§ÌÀ»á¡Ê¶å½£¶¦Î©Âç¡Ë

9·î5Æü¡Ê²Ð¡Ë

3:00--4:00 Linearization problem for embeddings between affine spaces

4:15--5:15 Normal quartic surfaces as a compactification of C^{2}

Abstract:In the first part, we introduce the linearization problem for embeddings between affine spaces, which was proposed by Abhyankar and Sathaye. In the second part, we consider embeddings of plane into 3-space from a view point of compactifications of C2. We mainly treat normal quartic surfaces in P3 as a compactification of C2.

Prof. Yongnam Lee (Sogang University)

9·î12Æü¡Ê²Ð¡Ë

3:00--4:00 Stability of bicanonical curves of genus 3

4:15--5:15 Log minimal model program for the moduli space of

stable curves of genus 3

Abstract: This is joint work with D. Hyeon. First, I will talk about the GIT (geometric invariant theory) compactifications of bicanonical curves of genus 3. The Hilbert semistabe curves and the Chow semistable curves will be classified. Then I will explain these GIT compactifications via the log minimal model program for the moduli space of stable curves of genus 3. Five different compactfications of the moduli space of quartic plane curves will be given by the log minimal model program. I will compare them with other known compactfications.

9·î13Æü¡Ê¿å¡Ë

3:00--4:00 A simply connected Campedelli surface

Abstract: This is joint work with J. Park. In this talk, I will explain our recent trial of the construction of a simply connected Campedelli surface. Our methods are the Q-Gorenstein smoothings, the global smoothings, and the rational blow-down surgery.

10·î17Æü¡Ê²Ð¡Ë

3:30 -- 5:00 ´ßËÜ¡¡¿ò»á (ºë¶ÌÂç³Ø¡Ë

A new proof of non-tameness on Nagata automorphism from a point of view of Sarkisov program

11·î21Æü¡Ê²Ð¡Ë

3:30 -- 5:00 ÌÖÃ« ÂÙ¼£»á (Áá°ðÅÄÂç³Ø¡Ë

ËÉÙ¤Ê°ø»Ò¤¬ Castelnuovo Â¿ÍÍÂÎ¤È¤Ê¤ëÊÐ¶ËÂ¿ÍÍÂÎ¤Î¹½Â¤¤Ë¤Ä¤¤¤Æ

12·î19Æü¡Ê²Ð¡Ë

4:15 -- 5:45 À¶¿åÍ¦Æó»á (¹ñºÝ´ðÆÄ¶µÂç³Ø¡Ë

Noncommutative deformation of algebraic surfaces