In Quantum Information Theory, quantum states and quantum channels are central objects of study. Mathematically, a quantum state is a positive semidefinite matrix of unit trace, and a quantum channel is...
+91-674-249-4082
In Quantum Information Theory, quantum states and quantum channels are central objects of study. Mathematically, a quantum state is a positive semidefinite matrix of unit trace, and a quantum channel is...
Abstract: Employing solution of heat equation, we prove Taylor's theorem with Peano form of the remainder. In addition, we derive the Taylor series of an infinitely differentiable function under the additional assumption that the n'th derivative does not grow faster than the n'th power of some...
Abstract: Employing solution of heat equation, we prove Taylor's theorem with Peano form of the remainder. In addition, we derive the Taylor series of an infinitely differentiable function under the additional assumption that the n'th derivative does not grow faster than the n'th power of some...
Abstract: Employing solution of heat equation, we prove Taylor's theorem with Peano form of the remainder. In addition, we derive the Taylor series of an infinitely differentiable function under the additional assumption that the n'th derivative does not grow faster than the n'th power of some...
Abstract: Employing solution of heat equation, we prove Taylor's theorem with Peano form of the remainder. In addition, we derive the Taylor series of an infinitely differentiable function under the additional assumption that the n'th derivative does not grow faster than the n'th power of some...
Abstract: Plücker Formula gives the genus of a smooth projective plane curve in terms of its degree, specifically, a curve of degree d has genus (d-1)(d-2)/2. We will first prove Bezout's theorem and as an application look at...
Abstract: Horrocks' Theorem is an indispensable tool to prove Quillen-Suslin Theorem, which gives a sufficient condition for finitely generated projective modules to be free. In this talk, we will talk about a...
This talk broadly has two parts. The first one is about the signs of Hecke ...
Abstract: Given a holomorphic map between compact Riemann surfaces, Hurwitz's formula relates the genera of the domain and range with the degree and ramification of the map. We will see a...
School of Mathematical Sciences
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