General Assembly taking place this week in New York
Uganda's Anti-Homosexuality Act signed into law in May
Church teaching about homosexuality remains unchanged
Laverne Cox, Alicia Garza among participants
Virtual event to highlight Black Lives Matter movement
Digital event to take place on June 27
Plight of LGBTQ migrants, Chechen crackdown attract coverage
Xavier Bettel first out head of gov't to discuss LGBTI issues at gathering
Gay and Lesbian Victory Institute to help coordinate effort
Leo Varadkar, 38, is of Indian descent
