応強丗 撧椙彈巕戝妛棟妛晹C搹4奒悢妛戝島媊幒乮C432乯

島墘幰丗 Elijah Liflyand 巵乮Bar-Ilan University乯

戣栚丗 The Fourier transform of a function of bounded variation

奣梫丗 New relations between the Fourier transform of a function of bounded variation and the Hilbert transform of its derivative are revealed. The main result is an asymptotic formula for the {\bf cosine} Fourier transform. Such relations have previously been known only for the sine Fourier transform. Interrelations of various function spaces are studied in this context, first of all of two types of Hardy spaces. The obtained results are used for proving completely new results on the integrability of trigonometric series. Multidimensional extensions are discussed as well.

栤偄崌傢偣愭丗 怷摗恆嵠

応強丗 撧椙彈巕戝妛棟妛晹G201

僾儘僌儔儉摍偼偙偪傜傪屼棗壓偝偄丅

応強丗 撧椙彈巕戝妛 棟妛晹C搹4奒 悢妛彫島媊幒乮C434乯

島墘幰丗 Alex Degtyarev 巵 (Bilkent University)

戣栚丗 Slopes of colored links

奣梫丗 This work is motivated by our previous study of the behavior of the signature of colored links under the splice operation. The signature is mainly additive, with a regular correction term related to the generalized Hopf links. However, this almost additivity is lost along a certain ``singular locus,'' which is the subject of our current work. To describe the extra correction term (arising as a Maslov index in Wall's non-additivity theorem), we introduce a collection of invariants of colored links, called slopes. It turns out that the slope can be represented as the ratio of two sign-refined Alexander polynomials (or rather derivatives thereof), whenever this ratio makes sense. However, experiments with the link tables show that, when both polynomials in question vanish, the rational function obtained is independent of the higher Alexander polynomials, thus providing a new link invariant. (This invariant does distinguish some of the links in the tables.) Even isolated common zeroes of the two polynomials sometimes lead to surprises, as l'H\^opital's rule does not work.
Should time permit, I will discC43uss further properties of the new invariants and outline several ways of computing them.
This is a joint work in progress with Vincent Florens and Ana G. Lecuona.

栤偄崌傢偣愭丗 彫椦婤

応強丗 撧椙彈巕戝妛棟妛晹怴B搹4奒 悢妛壢奒抜嫵幒乮B1406乯

僾儘僌儔儉摍偼偙偪傜傪屼棗壓偝偄丅

応強丗 撧椙彈巕戝妛棟妛晹怴B搹4奒 悢妛壢奒抜嫵幒乮B1406乯

応強丗 撧椙彈巕戝妛僐儔儃儗乕僔儑儞僙儞僞乕乮Z306乯

僾儘僌儔儉摍偼偙偪傜傪屼棗壓偝偄丅

応強丗 撧椙彈巕戝妛棟妛晹怴B搹4奒 悢妛壢奒抜嫵幒乮B1406乯

僾儘僌儔儉摍偼偙偪傜傪屼棗壓偝偄丅

応強丗撧椙彈巕戝妛 棟妛晹C搹4奒 悢妛彫島媊幒乮C434乯

島墘幰 丗憅捸栁旻巵乮峅慜戝妛棟岺妛尋媶壢乯

戣栚丗懡曄悢僼乕儕僄媺悢偲奿巕揰栤戣

栤偄崌傢偣愭丗怷摗恆嵠

応強丗撧椙彈巕戝妛棟妛晹怴B搹4奒悢妛壢奒抜嫵幒乮B1406乯 乮尋媶廤夛摉擔丄戝妛撿栧偼暵傑偭偰偍傝傑偡偺偱丄戝妛惓栧偵偍夞傝壓偝偄丅乯

********** 僾儘僌儔儉 **********

6寧23擔乮搚乯

14:00--15:00丗 掔丂梍巙梇巵丂嫗搒戝妛戝妛堾棟妛尋媶壢 Parabolic-stochastic regularization for H^1 critical NLS丂

15:15--16:15丗 崃嶈丂憦巵丂妛廗堾戝妛棟妛晹 L^2楎椪奅NLS曽掱幃偵偍偗傞嵟彫旕嶶棎夝偵偮偄偰

16:30--17:30丗 椦 拠晇巵 丒鍗銘鍔w戝妛堾棟妛尋媶壢 A system of quadratic nonlinear Klein-Gordon equations in 2d

18:30-- 丗丂崸恊夛

6寧24擔乮擔乯

10:00--11:00丗 拞捤 抭擵巵丂柤屆壆戝妛戝妛堾懡尦悢棟壢妛尋媶壢俢俀 Uniqueness of steady Navier-Stokes flows in exterior domains

11:15--12:15丗旽揷丂弐柧巵丂柤屆壆戝妛戝妛堾懡尦悢棟壢妛尋媶壢 俀師尦奜晹 Oseen 敿孮偺尭悐昡壙

乮6寧23擔偵崸恊夛傪奐偔梊掕偱偡丅偛嶲壛捀偗傞曽偼丄6寧18擔(寧) 傑偱偵桍戲taku @cc.nara-wu.ac.jp 偵偛楢棈捀偗傞偲偁傝偑偨偄偱偡丅乯

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尋媶夛悽榖恖丗彫椦岶峴乮嵅夑戝妛乯丆桍郪戩乮撧椙彈巕戝妛乯

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応強丗撧椙彈巕戝妛 棟妛晹C搹4奒 悢妛彫島媊幒乮C434乯

島墘幰 丗崅懞攷擵巵乮偼偙偩偰枹棃戝妛乯

戣栚丗椪奅檖傪傕偮崅師尦敿慄宍攇摦曽掱幃偵懳偡傞弶婜抣栤戣偺夝偺嵟戝懚嵼帪娫

奣梫丗偙偪傜傪偛棗偔偩偝偄丅

応強丗撧椙彈巕戝妛 棟妛晹怴B搹4奒 奒抜嫵幒

島墘幰 丗YAN Dunyan 巵乮拞崙壢妛堾尋媶惗堾乯

戣栚丗Characterizations of Multi-knot Piecewise Linear Spectral Sequences

奣梫丗We first obtain two classes of orthonormal bases for $L^2([0,1])$. The exponential parts of bases that are multi-knot piecewise linear functions are called spectral sequences. We also consider an inverse problem for single-knot piecewise linear spectral sequences. We characterize $L^p([0,1])$ spaces with $1 < p < \infty$ in using one class of orthonormal bases. In addition, we will give the corresponding Littlewood-Paley theorem, Carleson-Hunt theorem and Poisson summation formula related to these bases.

栤偄崌傢偣愭丗桏揷岞嶰丄怷摗恆嵠

応強丗撧椙彈巕戝妛棟妛晹C搹4奒悢妛戝島媊幒乮C432乯

島墘幰 丗榓揷弌廏岝巵乮戝嶃巗棫戝妛悢妛尋媶強 愱擟尋媶強堳乯

戣栚丗椪奅巜悢傪帩偮庬乆偺娭悢嬻娫忋偺Gagliardo-Nirenberg宆曗娫晄摍幃偵偮偄偰

奣梫丗椪奅Besov嬻娫偼椪奅Sobolev嬻娫偲摨條丄楢懕娭悢嬻娫偵曪娷偝傟側偄偲偄偆堄枴偱椪奅偵埵抲偡傞娭悢嬻娫偱偁傞丅 偙偺偙偲偼摨嬻娫偑嬊強揑偵摿堎揰傪帩偪摼傞偙偲傪帵嵈偡傞偑丄偙偺嵟揔側摿堎惈傪懳墳偡傞廳傒晅偒Gagliardo-Nirenberg宆曗娫晄摍幃傪夘偟偰挷嵏偡傞丒B 傑偨丄摨晄摍幃偵娭楢偟偰丄懳墳偡傞Trudinger宆晄摍幃傪椪奅Besov嬻娫偐傜巜悢宆娭悢傪Young娭悢偵帩偮Besov-Orlicz嬻娫傊偺杽傔崬傒掕棟偲偟偰摫弌偡傞丅

応強 : 撧椙彈巕戝妛棟妛晹怴B搹4奒悢妛壢奒抜嫵幒乮B1406乯

僾儘僌儔儉摍偼偙偪傜傪屼棗壓偝偄丅

応強 : 撧椙彈巕戝妛怴B搹4奒戞3僙儈僫乕幒

島墘幰 : Ruhan Zhao 乮SUNY, Brockport乯

戣栚 : An introduction of composition operators on function spaces

奣梫丗Let $\varphi$ be an analytic self map of the unit disk in the complex plane. A composition operator induced by $\varphi$ is defined by $C_{\varphi}f=f\circ\varphi$ for $f$ in the space of functions analytic on the unit disk. The study of Composition operators has originated in 1960s. It is one of the fast growing areas in mathematics. In my talk I will introduce some basic facts on composition operators, and some of its recent developements.

応強 : 撧椙彈巕戝妛棟妛晹C搹4奒悢妛彫島媊幒(C434)

島墘幰 : Professor Michael Dreher 乮University of Konstanz, Germany乯

戣栚 : Parameter-elliptic systems and viscous quantum hydrodynamics

奣梫丗We present a short review on the theory of parameter-elliptic mixed-order systems as developed by Agmon, Douglis, Nirenberg and others. We show a method of how to derive resolvent estimates for subclasses of such systems, and apply these to several versions of the viscous model of quantum hydrodynamics, obtaining the local existence of strong solutions and stability of certain stationary states.

応強 : 撧椙彈巕戝妛棟妛晹C搹4奒悢妛彫島媊幒(C434)

島墘幰 : Professor Yong Jung Kim 乮KAIST, South Korea乯

戣栚 : An age estimate of a heat distribution using moments from the past

奣梫丗Suppose that there is a heat distribution which has been being diffused since long time ago. In this talk we will discuss about the moment problem taking moments in a backward time and then use it to estimate the time when the heat distribution started to be diffused.

応強 : 撧椙彈巕戝妛棟妛晹C搹4奒戞堦僙儈僫亅幒(C435)

島墘幰 : Juncheol Pyo巵 乮Seoul National University, Korea乯

戣栚 : Minimal surface in H^2亊R

奣梫丗we construct complete embedded minimal surfaces in $\Bbb H^2\times \Bbb R$. The first one is a finite total curvature surface which is conformal to $\mathbb S^2\setminus\{p_1,...,p_k\}, k\ geq2$. The complete embedded minimal surfaces, with $k$ vertical planar ends and total curvature $-4(k-1)\pi$, give an affirmative answer to Hauswirth and Rosenberg's question. The second one is a 2-parameter family of minimal surfaces which have finite total curvature and asymptotically converge to several vertical planes. These are similar to the Scherk's towers in $\Bbb R^3$. In the second case, we construct the minimal surfaces by the conjugate surface and barrier method.

応強 : 撧椙彈巕戝妛棟妛晹C搹4奒戞堦僙儈僫亅幒(C435)

島墘幰 : 暷郪丂峃岲乮柤戝懡尦悢棟乯

戣栚 : 検巕 ($\mathfrak{sl}_n,\wedge V_n$) 棈傒栚晄曄検偲峴楍場巕壔

奣梫丗Khovanov偲Rozansky偵傛偭偰Euler昗悢偑HOMFLY-PT懡崁幃乮検巕($ \mathfrak{sl}_n,V_n$)棈傒栚晄曄検乯偲側傞儂儌儘僕乕偑掕媊偝傟偨丅島墘幰 偼斵傜偺棟榑傪奼挘偡傞偙偲偱Euler昗悢偑検巕($\mathfrak{sl}_n,\wedge V_n $)棈傒栚晄曄検偲側傞儂儌儘僕乕偺忣曬傪帩偮俁曄悢懡崁幃晄曄検傪掕媊偟偨丅 偙偺懡崁幃晄曄検偺峔惉偵偮偄偰徯夘偟傑偡丅

応強 : 撧椙彈巕戝妛棟妛晹悢妛壢丂戝島媊幒(C432)

島墘幰 :丂挿悾桪巕巵(僫億儕戝妛乮University of Naples "Federico II"乯)

戣栚 : 嬌尷奅柺偵旕摍曽惈嬋棪偑偁傜傢傟傞摿堎愛摦栤戣

奣梫丗懱愊堦掕忦審偺壓偱Modica-Mortla僞僀僾偺僄僱儖僊乕斈娭悢偺嵟彫壔栤戣傪峫偊傞丅偦偺摿堎嬌尷偵偼丄懱愊堦掕忦審壓偱偺柺愊嵟彫壔嬋 柺偑尰傟傞偙偲偑抦傜傟偰偍傝丄傑偨偦偺嵟彫壔夝偑枮偨偡Euler-Lagrange曽掱幃偺Lagrange 忔悢偑丄柺愊嵟彫壔嬋柺偺暯嬒嬋棪偵廂懇偡傞偙偲偑 抦傜傟偰偄傞丅 杮僙儈僫乕偱偼丄堎曽惈傪帩偮僄僱儖僊乕斈娭悢偵娭 偟偰丄Lagrange忔悢偲嬌丒纴EE柺偺娭學偵偮偄偰弎傋傞丅

応強 : 撧椙彈巕戝妛棟妛晹怴俛搹係奒丂俛侾係侽俁乮戞俁僙儈僫乕幒丒j

島墘幰 :丂Prof. Dragomir Saric (CUNY,USA)

戣栚 : Earthquakes in the unit disk

奣梫丗We introduce earthquakes in the unit disk and recall Thurston's theorem that each homeomorphism of the unit circle arises as the Extension of an earthquake. Then we characterize earthquake measures which give rise to quasisymmetric and symmetric maps of the unit circle. We give a proof of contractibility of Teichmuller spaces using earthquakes. (The first proof of contractibility of Teichmuller spaces is given by Douady-Earle barycentric extension.) Finally, we consider the maximum possible decay of earthquake measures in the unit disk.

応強 : 撧椙彈巕戝妛棟妛晹怴C搹係奒丂C431乮悢妛墘廗幒乯

島墘幰 :Prof. Chaim Goodman-Strauss (Univ. Arkansas)

戣栚 : Undecidable Games and Puzzles

奣梫丗Simple games and puzzles quickly lead us to one of the hallmark achievements of twentieth century mathematics, the recognition that there are true but formally unprovable mathematical statements. We will discuss undecidable problems in what might be viewed as a branch of recreational mathematics,tilings of the plane. Puzzles and toys will be provided.

応強 : 悢妛戞侾僙儈僫乕幒乮C搹係奒C係俁俆乯

島墘丒� :丂壛摗岶惙巵丂乮柤屆壆戝妛戝妛堾丂懡尦悢棟壢妛愱峌D2乯

戣栚 : Well-posedness for the fifth order KdV equation

奣梫丗杮島墘偱埖偆旕慄宆曽掱幃偼, KdV奒憌偵娷傑傟傞5師KdV曽掱幃偱偁傞. 偙偺曽掱幃偵偼嫮偄摿 堎惈傪傕偮旕慄宆崁偑娷傑傟傞偨傔, 弶婜抣傪捠忢偺Sobolev嬻娫偵梌偊偨応崌,丂Fourier惂尷僲儖儉 朄偑揔梡偱偒側偄.丂偦偙偱弶婜抣傪梌偊傞嬻娫傪惸師Sobolev嬻娫偲捠忢偺Sobolev嬻娫偺嫟捠晹暘偵 廋惓偡傞偙偲偱偙偺庤朄傪梡偄傞偙偲偑偱偒, 偁傞堄枴嵟椙偺寢壥傪摫偔偙偲偑偱偒偨. 島墘偱偼, 嵟 傕廳梫側揔愗側娭悢嬻娫偺愝掕偺巇曽偲偦傟傪棙梡偟偨憃慄宆昡壙偺徹柧偵偮偄偰弎傋傞.

応強 : 悢妛戞侾僙儈僫乕幒乮C搹係奒C係俁俆乯

島墘幰 :丂Hyun Kwang Kim 巵

戣栚 : Lonesum matrices

奣梫丗丂A binary matrix is called lonesum if it can be reconstructed from its row and column sums. Using the theory of generating functions, M. Kaneko obtained two formulas for the values of poly-Bernoulli numbers. In this talk, we will investigate Kaneko's formulas from a combinatorial point of view. It will be shown that his formulas are essentially the same as the computation of the number of lonesum matrices in two ways, namely, using the principle of inclusion and exclusion in the first hand, and using the partition of a given set in the second hand. We also present our recent results on ternary lonesum matrices.

応強 : 悢妛墘廗幒乮C搹係奒C係俁侾乯

島墘幰 : Professor Andrei Pajitnov (Universite de Nantes)

戣栚 : On the Morse-Novikov number and the tunnel number of knots

奣梫: Let K be a knot in the three-sphere. The Morse-Novikov number MN(K) of K is the minimal number of critical points of a regular circle-valued Morse function defined on the complement of K. We prove that MN(K) is less than or equal to twice the tunnel number of the knot and present consequences of this result.

応強丗悢妛壢戞堦僙儈僫乕幒乮C搹4F435乯

島墘幰丗Crystal Hoyt丂巵 (Weizmann Institute)

戣栚: Simplicity of vacuum modules over affine Lie superalgebras乮侾侾寧侾侽擔乯,

Regular Kac-Moody superalgebras and integrable highest weight module乮侾侾寧侾俁擔乯

傾僽僗僩儔僋僩侾, 傾僽僗僩儔僋僩俀

婔壗僙儈僫乕

擔帪丗俀侽侽俉擭侾侾寧侾侽擔乮寧乯侾係丗係侽亅侾俇丗侾侽

応強 : 悢妛壢戞1僙儈僫乕幒乮C搹4奒乯

島墘幰 : 戝抾攷屓巵乮嫗搒嫵堢戝妛嫵堢妛晹乯

戣栚 : 扨埵墌斅偐傜僞僀僸儈儏儔乕嬻娫偍傛傃慟嬤揑僞僀僸儈儏儔乕嬻娫傊偺摍嫍棧幨憸偵偮偄偰

奣梫丗儕乕儅儞柺 R 偑夝愅揑桳尷宆偱側偄応崌偵偼丆扨埵墌斅偐傜 R 偺僞僀僸儈儏儔乕嬻娫 T(R) 偍傛傃慟嬤揑僞僀僸儈儏儔乕嬻娫 AT(R) 傊偺摍嫍棧幨憸偱丆惓懃偱傕斀惓懃偱傕側偄傕偺偑懚嵼偡傞偙偲傪帵偡丏偝傜偵丆偙偺庡挘偐傜攈惗偡傞栤戣偵偮偄偰傕弎傋傞丏

応強丗悢妛壢彫島媊幒乮C丒弬SF係俁係乯

島墘幰丗孠尨晀榊乮RIMS)

戣栚丗夥懡條懱偺旕壜姺曄宍偲桳棟Cherednik戙悢

傾僽僗僩儔僋僩

応強丗撧椙彈巕戝妛棟妛晹悢妛壢戞堦僙儈僫乕幒乮C搹係 F乯

島墘幰丗Peter Fiebig 巵丂(Freiburg 戝妛)

戣栚丗An upper bound on the exceptional characteristics for Lusztig's character formula

Abstract:We develop and study a Lefschetz theory in a combinatorial category associated to a root system and derive an upper bound on the exceptional characteristics for Lusztig's character formula for simple rational representations of a reductive algebraic group. Our bound is huge compared to the Coxeter number, it is, however, given by an explicit formula.