title: Congruences modulo ρ between ρ-wisted Hasse-Weil L-values

authors: Delbourgo, Daniel

subjects: Science & Technology

abstract: Suppose E₁ and E₂ are semistable elliptic curves over Q with good reduction at p, whose associated weight two newforms f₁  and f₂ have congruent Fourier coefficients modulo p. Let RS(E*, ρ) denote the algebraic padic L-value attached to each elliptic curve E, twisted by an irreducible Artin representation, ρ, factoring through the Kummer extension Q(μp∞, Δ1/p∞).
If E₁ and E₂ have good ordinary reduction at p, we prove that RS(E₁, ρ) ≡ RS(E₂, ρ) mod p, under an integrality hypothesis for the modular symbols defined over the field cut out by Ker(ρ). Under this hypothesis, we establish that E₁ and E₂ have the same analytic λ-invariant at ρ.
Alternatively, if E₁ and E₂ have good supersingular reduction at p, we show that |RS(E₁, ρ) − RS(E₂, ρ)|ₚ < p ᵒʳᵈᵖ⁽ᶜᵒⁿᵈ⁽ρ⁾⁾/².
These congruences generalise some earlier work of Vatsal [Duke Math. J. 98 (1999), pp. 399–419], Shekhar–Sujatha [Trans. Amer. Math. Soc. 367 (2015), pp. 3579–3598], and Choi-Kim [Ramanujan J. 43 (2017), p. 163–195], to the false Tate curve setting.

text: Congruences modulo ρ between ρ-wisted Hasse-Weil L-values Suppose E₁ and E₂ are semistable elliptic curves over Q with good reduction at p, whose associated weight two newforms f₁  and f₂ have congruent Fourier coefficients modulo p. Let RS(E*, ρ) denote the algebraic padic L-value attached to each elliptic curve E, twisted by an irreducible Artin representation, ρ, factoring through the Kummer extension Q(μp∞, Δ1/p∞).
If E₁ and E₂ have good ordinary reduction at p, we prove that RS(E₁, ρ) ≡ RS(E₂, ρ) mod p, under an integrality hypothesis for the modular symbols defined over the field cut out by Ker(ρ). Under this hypothesis, we establish that E₁ and E₂ have the same analytic λ-invariant at ρ.
Alternatively, if E₁ and E₂ have good supersingular reduction at p, we show that |RS(E₁, ρ) − RS(E₂, ρ)|ₚ < p ᵒʳᵈᵖ⁽ᶜᵒⁿᵈ⁽ρ⁾⁾/².
These congruences generalise some earlier work of Vatsal [Duke Math. J. 98 (1999), pp. 399–419], Shekhar–Sujatha [Trans. Amer. Math. Soc. 367 (2015), pp. 3579–3598], and Choi-Kim [Ramanujan J. 43 (2017), p. 163–195], to the false Tate curve setting.

year: 2018

title: Identification and functional characterization of a new IL-1 family member, IL-1Fm2, in most evolutionarily advanced fish

authors: Angosto, Diego

subjects: Inflammation

abstract: The IL-1 family consists of 11 members that play an important role as key mediators in inflammation and immunity. Here, we report the identification of a new member of the IL-1 family (IL-1Fm2) that is present in species belonging to the most evolutionarily advanced group of teleost fish (Series Percomorpha), including Perciformes, Beloniformes, Gasterosteiformes, Cyprinodontiformes and Pleuronectiformes. However, IL-1Fm2 seems to be absent in Tetraodontiformes, which also belong to the Percomorpha. The expression pattern of gilthead seabream IL-1Fm2 revealed that although it was hardly induced by PAMPs, the combination of PAMPs and recombinant IL-1Fm2 synergistically induced its expression in macrophages and granulocytes. In addition, recombinant IL-1Fm2 was able to activate the respiratory burst of seabream phagocytes and to synergistically induce the expression of IL-1β, TNF-α, IL-8 and IL-10 when combined with PAMPs. Finally, although gilthead seabream IL-1Fm2 did not show a conserved caspase-1 processing site, macrophages processed IL-1Fm2 before being released. However, both pan-caspase and caspase-1 inhibitors failed to inhibit the processing and release of IL-1Fm2. These results demonstrate an important role of IL-1Fm2 in the regulation of fish immune responses, shed light on the evolution of the IL-1 family in vertebrates and point to the complexity of this cytokine family.

text: Identification and functional characterization of a new IL-1 family member, IL-1Fm2, in most evolutionarily advanced fish The IL-1 family consists of 11 members that play an important role as key mediators in inflammation and immunity. Here, we report the identification of a new member of the IL-1 family (IL-1Fm2) that is present in species belonging to the most evolutionarily advanced group of teleost fish (Series Percomorpha), including Perciformes, Beloniformes, Gasterosteiformes, Cyprinodontiformes and Pleuronectiformes. However, IL-1Fm2 seems to be absent in Tetraodontiformes, which also belong to the Percomorpha. The expression pattern of gilthead seabream IL-1Fm2 revealed that although it was hardly induced by PAMPs, the combination of PAMPs and recombinant IL-1Fm2 synergistically induced its expression in macrophages and granulocytes. In addition, recombinant IL-1Fm2 was able to activate the respiratory burst of seabream phagocytes and to synergistically induce the expression of IL-1β, TNF-α, IL-8 and IL-10 when combined with PAMPs. Finally, although gilthead seabream IL-1Fm2 did not show a conserved caspase-1 processing site, macrophages processed IL-1Fm2 before being released. However, both pan-caspase and caspase-1 inhibitors failed to inhibit the processing and release of IL-1Fm2. These results demonstrate an important role of IL-1Fm2 in the regulation of fish immune responses, shed light on the evolution of the IL-1 family in vertebrates and point to the complexity of this cytokine family.

year: 2013

title: Interface of gender and culture

authors: Tamasese, Kiwi

subjects: Maori

abstract: I greet you in the soothing waters of the Pacific. The birth waters of Hawai’i to the North, island of the dream time, and Aotearoa, to the south. Papua New Guinea to the West and Marquesas to the East.  These islands are the gathering places of the world’s largest Continent, the Pacific. We of this continent know that her birth waters are our connection.  We also know that she is woman identified. It is no surprise therefore that from Hawai’i to the north to Aotearoa in the south the positioning of women in each of these societies bears a different story to that of the women of the continent of Europe.  This reality lived out in Hawai’i means women shared with men the ultimate leadership of peoples.  This location of women power is named Kuhinanui. Many remarkable women of Hawai’i occupied this position.  From times of peace throughout to the first clash with imposed new culture, women of Hawai’i led, bled, struggled, defied and kept the kukui of self belief burning. Genealogically Hawai’i is connected to her other sisters throughout the Pacific.  The story of Kuhinanui Liliuokalani is poignant.

text: Interface of gender and culture I greet you in the soothing waters of the Pacific. The birth waters of Hawai’i to the North, island of the dream time, and Aotearoa, to the south. Papua New Guinea to the West and Marquesas to the East.  These islands are the gathering places of the world’s largest Continent, the Pacific. We of this continent know that her birth waters are our connection.  We also know that she is woman identified. It is no surprise therefore that from Hawai’i to the north to Aotearoa in the south the positioning of women in each of these societies bears a different story to that of the women of the continent of Europe.  This reality lived out in Hawai’i means women shared with men the ultimate leadership of peoples.  This location of women power is named Kuhinanui. Many remarkable women of Hawai’i occupied this position.  From times of peace throughout to the first clash with imposed new culture, women of Hawai’i led, bled, struggled, defied and kept the kukui of self belief burning. Genealogically Hawai’i is connected to her other sisters throughout the Pacific.  The story of Kuhinanui Liliuokalani is poignant.

year: 1993