Intersection cohomology of Drinfeld's compactifications

Let $X$ be a smooth complete curve, $G$ be a reductive group and $P\subset G$ a parabolic. Following Drinfeld, one defines a compactification \widetilde{\on{Bun}}_P of the moduli stack of $P$-bundles on $X$. The present paper is concerned with the explicit description of the Intersection Cohomology sheaf of \widetilde{\on{Bun}}_P. The description is given in terms of the combinatorics of the Langlands dual Lie algebra $\check{\mathfrak g}$.Comment: An erratum adde

Anisotropy of Vortex-Liquid and Vortex-Solid Phases in Single Crystals of Bi2_2Sr2_2CaCu2_2O8+δ_{8+\delta}: Violation of the Scaling Law

The vortex-liquid and vortex-solid phases in single crystals of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ placed in tilted magnetic fields are studied by in-plane resistivity measurements using the Corbino geometry to avoid spurious surface barrier effects. It was found that the anisotropy of the vortex-solid phase increases with temperature and exhibits a maximum at $T\approx 0.97 T_c$. In contrast, the anisotropy of the vortex-liquid rises monotonically across the whole measured temperature range. The observed behavior is discussed in the context of dimensional crossover and thermal fluctuations of vortices in the strongly layered system.Comment: 4 pages, 3 figures, submitted to Phys. Rev. Let

Synthesis, characterization and application of monetite and Sr-phosphate materials

U ovoj doktorskoj disertaciji ispitane su mogućnosti dobijanja monetita (CaHPO4) i nanosferičnog karbonatno stroncijskog hidroksiapatita [Sr10(PO4)6(OH)(2-2x)(CO3)x ] bržim, jednostavnijim i ekonomski isplativijim postupcima sinteze od dosada korišćenih.Sinteza monetita (CaHPO4) urađena je korišćenjem tehnike mlevenja brušita (CaHPO4∙2H2O) u vibracionom mlinu pri čemu dolazi do njegove fazne transformacije. Ispitivan je uticaj dužine mlevenja na fazni sastav i mikrostrukturne parametre tretiranog materijala. Prikazan je i mehanizam fazne transformacije brušit - monetit pri kratkom vremenu mlevenja (ukupno 12,5 min.). Uočeno je da se monetit formira nakon 5,0 minuta mlevenja u vibracionom mlinu faznim prelazom brušit-monetit. Primenom metode rendgenske difrakcije na polikristalnim materijalima izučavan je fazni sastav i mikrostrukturni parametri sintetisanih i mlevenih kalcijum fosfatnih (CaP) materijala. Ramanska spektroskopija, kao komplementarna metoda rendgenskoj difrakcionoj analizi, upotrebljena je za ispitivanje početnog brušitnog materijala. Infracrvena spektroskopija sa Furijeovom transformacijom iskorišćena je za ispitivanje i praćenje toka promena faznog sastava tokom mlevenja. Adsorpciono-desorpciona metoda (BET) korišćena je za određivanje poroznosti materijala mlevenog 5,0 min, dok su morfološke karakteristike materijala i semikvantitativni sastav ispitane korišćenjem metodom skenirajuće elektronske mikroskopije sa energijsko disperzivnom analizom (SEM-EDS). Mezoporozni monetitski material dobijen je nakon 5,0 minuta mlevenja u vibracionom mlinu. Ovako dobijen material korišćen je za adsorpciju fosfatnog pesticida-malationa iz vodenog rastvora. Rezultati adsorpcije pokazali su da se malation može uspešno odstraniti iz vodenog rastvora korišćenjem monetita kao adsorbenta...In this doctoral dissertation the main goal was to examine the possibilities for obtaining monetite (CaHPO4) and nanospheric strontium carbonate hydroxyapatite [Sr10(PO4)6(OH)(2-2x)(CO3)x ] materials by using faster, easier and cost-effective methods for synthesis.Monetite (CaHPO4) material was obtained by milling previously synthesized brushite (CaHPO4∙2H2O), in a vibratory mill resulting in its phase transformation occures. The effect of the different time periods of milling treatment on the phase composition and microstructural parameters of the treated material was also examined. The mechanism of phase transformation brushite-monetite during short time milling (12.5 minutes in total) was also shown. It was found that after 5.0 minutes of milling monetite phase starts to form, after brushite-monetite phase transition. The X-Ray powder diffraction (XRPD) method was used to investigate microstructural and phase properties of synthesized and milled calcium phosphate (CaP) samples. Raman spectroscopy, as a complementary method to XRPD analysis was used to confirm the purity of synthesized initial brushite material. Fourier transformation infra red spectroscopy (FTIR) was used for investigation and monitoring of the phase composition changes during milling treatment. The adsorption-desorption method (BET) was used to determine the porosity of the material milled for 5,0 min., whereas the morphological characteristics and semiquantitative analysis of obtained materials was observed using the method of scanning electron microscopy with energy dispersive analysis (SEM-EDS). Monetite material with mesoporous properties was obtained after 5,0 minutes of milling in a vibratory mill. This material was further applied as adsorbent for adsorption of phosphate-pesticides i.e. malathion from aqueous solution..

Synthesis, characterization and application of monetite and Sr-phosphate materials

U ovoj doktorskoj disertaciji ispitane su mogućnosti dobijanja monetita (CaHPO4) i nanosferičnog karbonatno stroncijskog hidroksiapatita [Sr10(PO4)6(OH)(2-2x)(CO3)x ] bržim, jednostavnijim i ekonomski isplativijim postupcima sinteze od dosada korišćenih.Sinteza monetita (CaHPO4) urađena je korišćenjem tehnike mlevenja brušita (CaHPO4∙2H2O) u vibracionom mlinu pri čemu dolazi do njegove fazne transformacije. Ispitivan je uticaj dužine mlevenja na fazni sastav i mikrostrukturne parametre tretiranog materijala. Prikazan je i mehanizam fazne transformacije brušit - monetit pri kratkom vremenu mlevenja (ukupno 12,5 min.). Uočeno je da se monetit formira nakon 5,0 minuta mlevenja u vibracionom mlinu faznim prelazom brušit-monetit. Primenom metode rendgenske difrakcije na polikristalnim materijalima izučavan je fazni sastav i mikrostrukturni parametri sintetisanih i mlevenih kalcijum fosfatnih (CaP) materijala. Ramanska spektroskopija, kao komplementarna metoda rendgenskoj difrakcionoj analizi, upotrebljena je za ispitivanje početnog brušitnog materijala. Infracrvena spektroskopija sa Furijeovom transformacijom iskorišćena je za ispitivanje i praćenje toka promena faznog sastava tokom mlevenja. Adsorpciono-desorpciona metoda (BET) korišćena je za određivanje poroznosti materijala mlevenog 5,0 min, dok su morfološke karakteristike materijala i semikvantitativni sastav ispitane korišćenjem metodom skenirajuće elektronske mikroskopije sa energijsko disperzivnom analizom (SEM-EDS). Mezoporozni monetitski material dobijen je nakon 5,0 minuta mlevenja u vibracionom mlinu. Ovako dobijen material korišćen je za adsorpciju fosfatnog pesticida-malationa iz vodenog rastvora. Rezultati adsorpcije pokazali su da se malation može uspešno odstraniti iz vodenog rastvora korišćenjem monetita kao adsorbenta...In this doctoral dissertation the main goal was to examine the possibilities for obtaining monetite (CaHPO4) and nanospheric strontium carbonate hydroxyapatite [Sr10(PO4)6(OH)(2-2x)(CO3)x ] materials by using faster, easier and cost-effective methods for synthesis.Monetite (CaHPO4) material was obtained by milling previously synthesized brushite (CaHPO4∙2H2O), in a vibratory mill resulting in its phase transformation occures. The effect of the different time periods of milling treatment on the phase composition and microstructural parameters of the treated material was also examined. The mechanism of phase transformation brushite-monetite during short time milling (12.5 minutes in total) was also shown. It was found that after 5.0 minutes of milling monetite phase starts to form, after brushite-monetite phase transition. The X-Ray powder diffraction (XRPD) method was used to investigate microstructural and phase properties of synthesized and milled calcium phosphate (CaP) samples. Raman spectroscopy, as a complementary method to XRPD analysis was used to confirm the purity of synthesized initial brushite material. Fourier transformation infra red spectroscopy (FTIR) was used for investigation and monitoring of the phase composition changes during milling treatment. The adsorption-desorption method (BET) was used to determine the porosity of the material milled for 5,0 min., whereas the morphological characteristics and semiquantitative analysis of obtained materials was observed using the method of scanning electron microscopy with energy dispersive analysis (SEM-EDS). Monetite material with mesoporous properties was obtained after 5,0 minutes of milling in a vibratory mill. This material was further applied as adsorbent for adsorption of phosphate-pesticides i.e. malathion from aqueous solution..

Synthesis, characterization and application of monetite and Sr-phosphate materials

U ovoj doktorskoj disertaciji ispitane su mogućnosti dobijanja monetita (CaHPO4) i nanosferičnog karbonatno stroncijskog hidroksiapatita [Sr10(PO4)6(OH)(2-2x)(CO3)x ] bržim, jednostavnijim i ekonomski isplativijim postupcima sinteze od dosada korišćenih. Sinteza monetita (CaHPO4) urađena je korišćenjem tehnike mlevenja brušita (CaHPO4∙2H2O) u vibracionom mlinu pri čemu dolazi do njegove fazne transformacije. Ispitivan je uticaj dužine mlevenja na fazni sastav i mikrostrukturne parametre tretiranog materijala. Prikazan je i mehanizam fazne transformacije brušit - monetit pri kratkom vremenu mlevenja (ukupno 12,5 min.). Uočeno je da se monetit formira nakon 5,0 minuta mlevenja u vibracionom mlinu faznim prelazom brušit-monetit. Primenom metode rendgenske difrakcije na polikristalnim materijalima izučavan je fazni sastav i mikrostrukturni parametri sintetisanih i mlevenih kalcijum fosfatnih (CaP) materijala. Ramanska spektroskopija, kao komplementarna metoda rendgenskoj difrakcionoj analizi, upotrebljena je za ispitivanje početnog brušitnog materijala. Infracrvena spektroskopija sa Furijeovom transformacijom iskorišćena je za ispitivanje i praćenje toka promena faznog sastava tokom mlevenja. Adsorpciono-desorpciona metoda (BET) korišćena je za određivanje poroznosti materijala mlevenog 5,0 min, dok su morfološke karakteristike materijala i semikvantitativni sastav ispitane korišćenjem metodom skenirajuće elektronske mikroskopije sa energijsko disperzivnom analizom (SEM-EDS). Mezoporozni monetitski material dobijen je nakon 5,0 minuta mlevenja u vibracionom mlinu. Ovako dobijen material korišćen je za adsorpciju fosfatnog pesticida-malationa iz vodenog rastvora. Rezultati adsorpcije pokazali su da se malation može uspešno odstraniti iz vodenog rastvora korišćenjem monetita kao adsorbenta...In this doctoral dissertation the main goal was to examine the possibilities for obtaining monetite (CaHPO4) and nanospheric strontium carbonate hydroxyapatite [Sr10(PO4)6(OH)(2-2x)(CO3)x ] materials by using faster, easier and cost-effective methods for synthesis. Monetite (CaHPO4) material was obtained by milling previously synthesized brushite (CaHPO4∙2H2O), in a vibratory mill resulting in its phase transformation occures. The effect of the different time periods of milling treatment on the phase composition and microstructural parameters of the treated material was also examined. The mechanism of phase transformation brushite-monetite during short time milling (12.5 minutes in total) was also shown. It was found that after 5.0 minutes of milling monetite phase starts to form, after brushite-monetite phase transition. The X-Ray powder diffraction (XRPD) method was used to investigate microstructural and phase properties of synthesized and milled calcium phosphate (CaP) samples. Raman spectroscopy, as a complementary method to XRPD analysis was used to confirm the purity of synthesized initial brushite material. Fourier transformation infra red spectroscopy (FTIR) was used for investigation and monitoring of the phase composition changes during milling treatment. The adsorption-desorption method (BET) was used to determine the porosity of the material milled for 5,0 min., whereas the morphological characteristics and semiquantitative analysis of obtained materials was observed using the method of scanning electron microscopy with energy dispersive analysis (SEM-EDS). Monetite material with mesoporous properties was obtained after 5,0 minutes of milling in a vibratory mill. This material was further applied as adsorbent for adsorption of phosphate-pesticides i.e. malathion from aqueous solution..

Synthesis and characterization of high-temperature strontium doped monazite ceramics

This work aims to obtain a simple pathway for the synthesis of a series of Ce1-xSrxPO4 ceramic materials using acetate solutions of Ce and Sr instead of nitrate which were used so far. The preparation method was simple mixing of solutions of Ce(C2H3O2)3∙xH2O), Sr(C2H3O2)2 and NaH2PO4 as precursors at room temperature and the studied compositions were Ce1-xSrxPO4 (where x = 0, 0.1, 0.2, 0.3, 0.4, 0.5). Also, the disintegration of Sr in monazite structures in different sintering temperature ranges from 600 °C to 1200 °C was investigated. The evolution of the phase composition with thermal treatment was investigated by X-ray powder diffraction (XRPD). Morphology of sintered ceramics and semi-quantitative chemical analysis were obtained by scanning electron microscopy (SEM/EDS) Rietveld refinement was employed to get the structural information of the synthesized materials. Densification and microstructure evolution was determined using relative geometric density and scanning electron microscopy (SEM). The most favorable conditions for obtaining hightemperature Ce, Sr phosphate-based ceramic material are reported.X Serbian Ceramic Society Conference - Advanced Ceramics and Application : new frontiers in multifunctional material science and processing : program and the book of abstracts; September 26-27, 2022; Belgrad

Knot homology via derived categories of coherent sheaves II, sl(m) case

Using derived categories of equivariant coherent sheaves we construct a knot homology theory which categorifies the quantum sl(m) knot polynomial. Our knot homology naturally satisfies the categorified MOY relations and is conjecturally isomorphic to Khovanov-Rozansky homology. Our construction is motivated by the geometric Satake correspondence and is related to Manolescu's by homological mirror symmetry.Comment: 51 pages, 9 figure

Structural and optical properties of HDPE implanted with medium fluences silver ions

The implantation of high-density polyethylene (HDPE) has been conducted using Ag+ ions with energy of 60 keV, achieved fluences 1.5 and 10•1015 ions/cm2. Transmission electron microscopy (STEM) and field emission gun - scanning electron microscopy (FEG-SEM) showed the existence of nanoparticle clusters. X ray photoelectron spectroscopy (XPS) revealed the presence of silver in the sample surface region. The surface topography was studied by atomic force microscopy (AFM), while the surface composition uniformity was analyzed using phase imaging AFM. Optical characterization obtained by spectroscopic ellipsometry (SE) showed changes in refractive index, extinction coefficient and the optical band gap with the fluence of implanted ions

Characterization of red mud/metakaolin-based geopolymers as modified by Ca(OH)2

Geopolymers are an emerging class of materials that offer an alternative to the Portland cement as the binder of structural concrete. One of the advantages is that the primary source of their production is waste alumosilicate materials from different industries. One of the key issues in geopolymer synthesis is the low level of mechanical properties due to porosity as well as the high activity of conductivity carriers. It can often lead to limited application possibilities, so the objective is to obtain an enhanced strength as well as decreased cracking tendency through microstructure modification. The introduction of Ca(OH)2, under certain pH conditions could lead to the filling-the-pores process and improving the mechanical properties. The aim was to understand the role that calcium plays in the geopolymer synthesis, and to define which reaction prevails under the synthesis conditions: formation of geopolymer gel or calcium silicate hydrate that contains aluminum substitution (CASH). The synthesis was performed with different raw materials (with or without red mud) and different alkalinity conditions. Ca(OH)2 was the obligatory supplement to both of the mixtures. Different techniques were performed for the testing of reaction products, as well as to define the microstructural changes as the generator of improved mechanical properties and changed electrical conductivity. The characteristics of the geopolymer's macrostructure were defined by means of an SEM analysis. Compressive strength and electrical conductivity are among the investigated product's properties. X-ray diffraction (XRD) and Fourier transform infra-red spectroscopy (FTIR) were used for the identification of various crystalline phases and an amorphous phase